Weights, extrapolation and the theory of Rubio de Francia.
From MaRDI portal
Publication:612872
DOI10.1007/978-3-0348-0072-3zbMath1234.46003OpenAlexW635785280MaRDI QIDQ612872
David V. Cruz-Uribe, Carlos Pérez, José Maria Martell
Publication date: 16 December 2010
Published in: Operator Theory: Advances and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-0348-0072-3
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces (42-02)
Related Items
Extrapolation to product Herz spaces and some applications ⋮ On the \(A_\infty\) conditions for general bases ⋮ Vector-valued operators with singular kernel and Triebel-Lizorkin block spaces with variable exponents ⋮ Orlicz-fractional maximal operators in Morrey and Orlicz-Morrey spaces ⋮ Regularity results for weak solutions of elliptic PDEs below the natural exponent ⋮ A lower bound for \(A_{p}\) exponents for some weighted weak-type inequalities ⋮ Dyadic decomposition of convex domains of finite type and applications ⋮ From \(A_1\) to \(A_{\infty}\): new mixed inequalities for certain maximal operators ⋮ Entropy conditions in two weight inequalities for singular integral operators ⋮ Extrapolation in the scale of generalized reverse Hölder weights ⋮ Vector-valued John-Nirenberg inequalities and vector-valued mean oscillations characterization of BMO ⋮ On weak weighted estimates of the martingale transform and a dyadic shift ⋮ Weighted and vector-valued inequalities for one-sided maximal functions ⋮ The boundedness of operators in Muckenhoupt weighted Morrey spaces via extrapolation techniques and duality ⋮ Quantitative weighted bounds for composite operators on spaces of homogeneous type ⋮ Multiple vector-valued, mixed-norm estimates for Littlewood-Paley square functions ⋮ Parabolic weighted norm inequalities and partial differential equations ⋮ Two matrix weighted inequalities for commutators with fractional integral operators ⋮ Characterizations of reverse weighted inequalities for maximal operators in Orlicz spaces and Stein's result ⋮ The Dirichlet problem for elliptic systems with data in Köthe function spaces ⋮ Extrapolation on function and modular spaces, and applications ⋮ Generalized Orlicz-type slice spaces, extrapolation and applications ⋮ Sawyer-type inequalities for Lorentz spaces ⋮ Weighted endpoint estimates for the composition of Calderón-Zygmund operators on spaces of homogeneous type ⋮ Convergence and characterization of wavelets associated with dilation matrix in variable \(L^p\) spaces ⋮ Weighted mixed norm estimates for fractional wave equations with VMO coefficients ⋮ Extrapolation, John-Nirenberg inequalities and characterizations of BMO in terms of Morrey type spaces ⋮ Hölder's inequalities involving the infinite product and their applications in martingale spaces ⋮ A quantitative approach to weighted Carleson condition ⋮ Littlewood-Paley characterizations of Hardy-type spaces associated with ball quasi-Banach function spaces. In memory of Professor Carlos Berenstein ⋮ On an estimate of Calderón-Zygmund operators by dyadic positive operators ⋮ A Bellman function proof of the \(L^2\) bump conjecture ⋮ Two-weighted norm inequalities of singular integral operators on weighted Morrey spaces ⋮ Solenoidal difference quotients and their application to the regularity theory of the \(p\)-Stokes system ⋮ Fractional type integral operators on variable hardy spaces ⋮ Local Hardy spaces with variable exponents associated with non-negative self-adjoint operators satisfying Gaussian estimates ⋮ Well-posedness for the Navier-Stokes equations in critical mixed-norm Lebesgue spaces ⋮ Two weighted inequalities for operators associated to a critical radius function ⋮ Wavelet characterization of local Muckenhoupt weighted Lebesgue spaces with variable exponent ⋮ Weighted norm inequalities for the bilinear maximal operator on variable Lebesgue spaces ⋮ Extrapolation for multilinear Muckenhoupt classes and applications ⋮ Extrapolation of weights revisited: new proofs and sharp bounds ⋮ Restricted weak-type Rubio de Francia extrapolation for \(p>p_{0}\) with applications to exponential integrability estimates ⋮ Extrapolation for classes of weights related to a family of operators and applications ⋮ Weighted norm inequalities for the maximal operator on variable Lebesgue spaces ⋮ Entropy bumps and another sufficient condition for the two-weight boundedness of sparse operators ⋮ New weighted estimates for the disc multiplier on radial functions ⋮ Extension and boundedness of operators on Morrey spaces from extrapolation techniques and embeddings ⋮ ``Small step`` remodeling and counterexamples for weighted estimates with arbitrarily ``smooth weights ⋮ Dyadic harmonic analysis beyond doubling measures ⋮ Sharp weighted estimates for classical operators ⋮ Weighted Hardy spaces associated with elliptic operators. III: Characterisations of \(H_{L}^{p}({w})\) and the weighted Hardy space associated with the Riesz transform ⋮ Convergence of the lacunary ergodic Cesàro averages ⋮ Characterization of a class of embeddings for function spaces with Muckenhoupt weights ⋮ Square function characterization of weak Hardy spaces ⋮ A local estimate for the maximal function in Lebesgue spaces with EXP-type exponents ⋮ Weak Hardy-type spaces associated with ball quasi-Banach function spaces. I: Decompositions with applications to boundedness of Calderón-Zygmund operators ⋮ Weighted bounds for the composition of singular integral operators with nonsmooth kernels on spaces of homogeneous type ⋮ Local well-posedness for the inhomogeneous nonlinear Schrödinger equation ⋮ Boundedness of vector valued bilinear Calderón-Zygmund operators on products of weighted Herz-Morrey spaces with variable exponents ⋮ Extrapolation to Herz spaces with variable exponents and applications ⋮ Dyadic Carleson embedding and sparse domination of weighted composition operators on strictly pseudoconvex domains ⋮ On the \(\ell^s\)-boundedness of a family of integral operators ⋮ Limited range multilinear extrapolation with applications to the bilinear Hilbert transform ⋮ Fractional integrals on variable Hardy-Morrey spaces ⋮ Maximal regularity for non-autonomous equations with measurable dependence on time ⋮ Interior regularity of space derivatives to an evolutionary, symmetric \(\varphi\)-Laplacian ⋮ Lerner's inequality associated to a critical radius function and applications ⋮ Boundedness of operators on certain weighted Morrey spaces beyond the Muckenhoupt range ⋮ A visual formalism for weights satisfying reverse inequalities ⋮ \(A_p\) weights and quantitative estimates in the Schrödinger setting ⋮ Spherical maximal function, maximal Bochner-Riesz mean and geometrical maximal function on Herz spaces with variable exponents ⋮ Weighted estimates for the bilinear maximal operator on filtered measure spaces ⋮ A counting problem in ergodic theory and extrapolation for one-sided weights ⋮ Two weight bump conditions for matrix weights ⋮ Boundedness of classical operators on rearrangement-invariant spaces ⋮ A weak type vector-valued inequality for the modified Hardy-Littlewood maximal operator for general Radon measure on \(\mathbb{R}^n\) ⋮ Weak endpoint bounds for matrix weights ⋮ Weighted inequalities for \(q\)-functions ⋮ A fractional Orlicz-Sobolev Poincaré inequality in John domains ⋮ Weighted Leibniz-type rules for bilinear flag multipliers ⋮ Bounded weak solutions to elliptic PDE with data in Orlicz spaces ⋮ On two weight estimates for iterated commutators ⋮ Musielak-Orlicz-Bumps and Bloom type estimates for commutators of Calderón-Zygmund and fractional integral operators on generalized Zygmund spaces via sparse operators ⋮ Weak and strong type estimates for the multilinear Littlewood-Paley operators ⋮ Borderline weak-type estimates for sparse bilinear forms involving \(A_\infty\) maximal functions ⋮ On pointwise \(\ell^r\)-sparse domination in a space of homogeneous type ⋮ \(B_n\)-maximal operator and \(B_n\)-singular integral operators on variable exponent Lebesgue spaces ⋮ Boundedness criterion for some integral operators on generalized mixed Morrey spaces and generalized mixed Hardy-Morrey spaces ⋮ The John-Nirenberg inequality in ball Banach function spaces and application to characterization of BMO ⋮ Fractional geometrical maximal functions on Morrey spaces with variable exponents ⋮ Ergodic theorems for Cesàro bounded operators in \(L^1\) ⋮ Extrapolation of compactness on weighted spaces: bilinear operators ⋮ Extrapolation in weighted classical and grand Lorentz spaces. Application to the boundedness of integral operators ⋮ Mapping properties of the fractional integral operators on Herz-Hardy spaces with variable exponents ⋮ Variable Hardy spaces on non-tangentially accessible domains and their applications to div-curl lemma ⋮ Analysis of autocorrelation function of stochastic processes by F-transform of higher degree ⋮ Triebel-Lizorkin spaces with general weights ⋮ New oscillation classes and two weight bump conditions for commutators ⋮ Greedy bases in variable Lebesgue spaces ⋮ Sharp bounds for general commutators on weighted Lebesgue spaces ⋮ A sparse domination principle for rough singular integrals ⋮ Strong maximal operator on mixed-norm spaces ⋮ Boundedness of Stein's spherical maximal function in variable Lebesgue spaces and application to the wave equation ⋮ Welland's type inequalities for fractional operators of convolution with kernels satisfying a Hörmander type condition and its commutators ⋮ A Unified Theory for Some Non-Newtonian Fluids Under Singular Forcing ⋮ Weighted estimates for dyadic paraproducts and \(t\)-Haar multipliers with complexity (\(m,n\)) ⋮ Extrapolation to mixed norm spaces and applications ⋮ Operator-free sparse domination ⋮ Two-weight estimates for sparse square functions and the separated bump conjecture ⋮ A $B_p$ condition for the strong maximal function ⋮ Unnamed Item ⋮ A fractional Muckenhoupt-Wheeden theorem and its consequences ⋮ Real interpolation with weighted rearrangement invariant Banach function spaces ⋮ Weighted inequalities for singular integral operators on the half-line ⋮ Intrinsic square functions on Morrey and block spaces with variable exponents ⋮ Sublinear operators on mixed-norm Hardy spaces with variable exponents ⋮ Extrapolation for multilinear compact operators and applications ⋮ Extrapolation of compactness on weighted Morrey spaces ⋮ On pointwise and weighted estimates for commutators of Calderón-Zygmund operators ⋮ Off-diagonal extrapolation on mixed variable Lebesgue spaces and its applications to strong fractional maximal operators ⋮ Tent space boundedness via extrapolation ⋮ New martingale inequalities and applications to Fourier analysis ⋮ On the condition for elliptic operators in 1-sided nontangentially accessible domains satisfying the capacity density condition ⋮ Weighted maximal \(L_q (L_p)\)-regularity theory for time-fractional diffusion-wave equations with variable coefficients ⋮ Mapping properties for operators on Herz-Morrey and Herz-Morrey-Hardy spaces ⋮ Calderón-Zygmund operators and commutators in spaces of homogeneous type: weighted inequalities ⋮ Two weight bump conditions for compactness of commutators ⋮ Brezis-van Schaftingen-Yung formulae in ball Banach function spaces with applications to fractional Sobolev and Gagliardo-Nirenberg inequalities ⋮ Extrapolations on ball Banach function spaces and applications ⋮ Weak type estimates of singular integral operators on Morrey-Banach spaces ⋮ A new approach to norm inequalities on weighted and variable Hardy spaces ⋮ Proof of an extension of E. Sawyer's conjecture about weighted mixed weak-type estimates ⋮ Sobolev estimates for fractional parabolic equations with space-time non-local operators ⋮ A unified method for maximal truncated Calderón–Zygmund operators in general function spaces by sparse domination ⋮ On weak-type (1, 1) for averaging type operators ⋮ BOUNDEDNESS OF GENERALIZED RIESZ POTENTIALS ON THE VARIABLE HARDY SPACES ⋮ Iterated commutators under a joint condition on the tuple of multiplying functions ⋮ GENERALIZED LOCAL THEOREMS FOR SQUARE FUNCTIONS ⋮ Weighted Hardy spaces associated with elliptic operators. Part I: Weighted norm inequalities for conical square functions ⋮ Extrapolation and interpolation in generalized Orlicz spaces ⋮ Elementary Proofs of One Weight Norm Inequalities for Fractional Integral Operators and Commutators ⋮ Vector-valued boundedness of harmonic analysis operators ⋮ A Bump Theorem for Weighted Embeddings and Maximal Operator: The Bellman Function Approach ⋮ Wavelet characterization of local Muckenhoupt weighted Sobolev spaces with variable exponents ⋮ The Ahlfors–Beurling transform on Morrey spaces with variable exponents ⋮ Sharp Békollé estimates for the Bergman projection ⋮ Vector-valued maximal inequalities on weighted Orlicz-Morrey spaces ⋮ Logarithmic bump conditions and the two-weight boundedness of Calderón-Zygmund operators ⋮ Local Hardy-Littlewood maximal operator in variable Lebesgue spaces ⋮ Weighted \(L^p\) estimates for the area integral associated to self-adjoint operators ⋮ Weighted inequalities of Fefferman-Stein type for Riesz-Schrödinger transforms ⋮ Some Hardy and Carleson measure spaces estimates for Bochner-Riesz means ⋮ Commutators of certain fractional type operators with Hörmander conditions, one-weighted and two-weighted inequalities ⋮ Local sharp maximal functions, geometrical maximal functions and rough maximal functions on local Morrey spaces with variable exponents ⋮ Dyadic Harmonic Analysis and Weighted Inequalities: The Sparse Revolution ⋮ Sharp Quantitative Weighted $$\mathop {\mathrm {BMO}}$$ Estimates and a New Proof of the Harboure–Macías–Segovia’s Extrapolation Theorem ⋮ End-point estimates, extrapolation for multilinear Muckenhoupt classes, and applications ⋮ Fourier multipliers in Banach function spaces with UMD concavifications ⋮ On $L_p$-estimates for elliptic and parabolic equations with $A_p$ weights ⋮ New weighted estimates for bilinear fractional integral operators ⋮ Endpoint estimates for Rubio de Francia operators ⋮ On the Sobolev and $L^p$-Stability of the $L^2$-Projection ⋮ Fourier integrals and Sobolev embedding on rearrangement invariant quasi-Banach function spaces ⋮ Invariance and stability of almost-orthogonal systems ⋮ Borderline weak‐type estimates for singular integrals and square functions ⋮ One and two weight norm inequalities for Riesz potentials ⋮ Conical square functions for degenerate elliptic operators ⋮ Sparse and weighted estimates for generalized Hörmander operators and commutators ⋮ Weighted estimates for one-sided martingale transforms ⋮ Weighted estimates for bilinear fractional integral operators and their commutators ⋮ Muckenhoupt–Wheeden conjectures in higher dimensions ⋮ Two weighted Herz spaces with variable exponents ⋮ Weak and strong type estimates for the multilinear pseudo-differential operators ⋮ Stochastic maximal regularity for rough time-dependent problems ⋮ Multilinear multipliers and singular integrals with smooth kernels on Hardy spaces ⋮ Weighted norm inequalities for the maximal operator on L^p(·) over spaces of homogeneous type ⋮ Theory of discrete Muckenhoupt weights and discrete Rubio de Francia extrapolation theorems ⋮ ImprovedA1−A∞and Related Estimates for Commutators of Rough Singular Integrals ⋮ Sublinear operators on weighted Hardy spaces with variable exponents ⋮ Extrapolation and weighted norm inequalities in the variable Lebesgue spaces ⋮ Poincare Inequalities and Neumann Problems for the p-Laplacian ⋮ Weighted norm inequalities for rough singular integral operators ⋮ Rubio de Francia extrapolation theorem and related topics in the theory of elliptic and parabolic equations. A survey ⋮ Muckenhoupt Class Weight Decomposition and BMO Distance to Bounded Functions ⋮ Coifman–Meyer multipliers: Leibniz-type rules and applications to scattering of solutions to PDEs ⋮ Vertical versus conical square functions ⋮ Degenerate Poincaré–Sobolev inequalities ⋮ Vector-valued extensions of operators through multilinear limited range extrapolation ⋮ Orlicz-fractional maximal operators on weighted L^p spaces ⋮ Vertical square functions and other operators associated with an elliptic operator ⋮ Weighted weak-type (1, 1) estimates for radial Fourier multipliers via extrapolation theory ⋮ The maximal operator on weighted variable Lebesgue spaces ⋮ Mixed weak estimates of Sawyer type for commutators of generalized singular integrals and related operators ⋮ Modulars from Nakano onwards ⋮ A new sufficient two-weighted bump assumption for $L^p$ boundedness of Calderón-Zygmund operators ⋮ Singular integral operators with operator-valued kernels, and extrapolation of maximal regularity into rearrangement invariant Banach function spaces ⋮ Estimates for imaginary powers of Laplace operator in variable Lebesgue spaces and applications ⋮ The \(L(\log L)^\epsilon\) endpoint estimate for maximal singular integral operators ⋮ Weighted inequalities for multilinear operators acting between generalized Zygmund spaces assuming Musielak-Orlicz bumps conditions ⋮ Rubio de Francia extrapolation results for grand Lebesgue spaces defined on sets having possibly infinite measure ⋮ Besov Spaces with GeneralWeights ⋮ Some mudular inequalities in Lebesgue spaces with variable exponent ⋮ The maximal regularity property of abstract integrodifferential equations ⋮ Extrapolation of compactness on weighted spaces ⋮ Bump conditions and two-weight inequalities for commutators of fractional integrals ⋮ Unnamed Item ⋮ Calderón-Zygmund operators, Bochner-Riesz means, and parametric Marcinkiewicz integrals on Hardy-Morrey spaces with variable exponents ⋮ A note on the limit of Orlicz norms ⋮ Weighted variation inequalities for singular integrals and commutators in rearrangement invariant Banach and quasi-Banach spaces ⋮ Weighted theory of Toeplitz operators on the Bergman space ⋮ Upper endpoint estimates and extrapolation for commutators ⋮ A tribute to Pola Harboure: Isoperimetric inequalities and the HMS extrapolation theorem ⋮ Rubio de Francía's weighted extrapolation in mixed‐norm spaces and applications ⋮ Local potential operator and uniform resolvent estimate for generalized Schrödinger operator in Orlicz spaces ⋮ Weighted estimates for square functions associated with operators ⋮ Extrapolation in general quasi-Banach function spaces ⋮ Fractional Leibniz rules in the setting of quasi-Banach function spaces ⋮ Boundedness of fractional operators associated with Schrödinger operators on weighted variable Lebesgue spaces via extrapolation ⋮ Sublinear operators on Herz–Hardy spaces with variable exponents ⋮ Mixed-norm Herz spaces and their applications in related Hardy spaces ⋮ Anisotropic ball Campanato-type function spaces and their applications ⋮ BMO \(\varepsilon\)-regularity results for solutions to Legendre-Hadamard elliptic systems ⋮ The regularity problem for degenerate elliptic operators in weighted spaces ⋮ Weak and strong type estimates for square functions associated with operators ⋮ Wavelet representation of singular integral operators ⋮ A sharp two-weight estimate for the maximal operator under a bump condition ⋮ Two weight estimates for \(L^r\)-Hörmander singular integral operators and rough singular integral operators with matrix weights ⋮ Characterization of Lipschitz functions on ball Banach function spaces ⋮ Weighted local Hardy spaces with variable exponents ⋮ Extrapolation for weighted product Morrey spaces and some applications ⋮ Product Hardy spaces meet ball quasi-Banach function spaces ⋮ Euclidean Structures and Operator Theory in Banach Spaces ⋮ Multilinear off-diagonal limited range extrapolations ⋮ Commutators generated by BMO-functions and the fractional integrals on Orlicz-Morrey spaces ⋮ Gagliardo representation of norms of ball quasi-Banach function spaces ⋮ Weighted strong-type estimates on classical Lorentz spaces ⋮ The Bourgain-Brezis-Mironescu formula on ball Banach function spaces ⋮ Littlewood-Paley-Rubio de Francia inequality for unbounded Vilenkin systems ⋮ Limited range extrapolation with quantitative bounds and applications ⋮ Some results for the Szegő and Bergman projections on planar domains ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Borderline Weighted Estimates for Commutators of Fractional Integrals ⋮ Summability of Fourier transforms on mixed-norm Lebesgue spaces via associated Herz spaces
