Weighted norm inequalities for the maximal operator on variable Lebesgue spaces
From MaRDI portal
Publication:442500
DOI10.1016/j.jmaa.2012.04.044zbMath1298.42021OpenAlexW1995084992MaRDI QIDQ442500
Alberto Fiorenza, David V. Cruz-Uribe, Christoph Neugebauer
Publication date: 1 August 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.04.044
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25)
Related Items
Weighted variable Morrey-Herz estimates for fractional Hardy operators ⋮ Boundedness of fractional integrals on weighted Herz spaces with variable exponent ⋮ Weighted fully measurable grand Lebesgue spaces and the maximal theorem ⋮ Maximal operator in variable Stummel spaces ⋮ Bilinear Calderón-Zygmund operators on two weight Herz spaces with variable exponents ⋮ \(L^{p(\cdot), \lambda(\cdot)}\) regularity for fully nonlinear elliptic equations ⋮ Wavelet characterization and modular inequalities for weighted Lebesgue spaces with variable exponent ⋮ Extrapolation on function and modular spaces, and applications ⋮ Boundedness of some sublinear operators on weighted variable Herz-Morrey spaces ⋮ Boundedness of multilinear Calderón-Zygmund singular operators on weighted Lebesgue spaces and Morrey-Herz spaces with variable exponents ⋮ Lipschitz type smoothness of the fractional integral on variable exponent spaces ⋮ Weighted norm inequalities for the maximal functions associated to a critical radius function on variable Lebesgue spaces ⋮ Wavelet characterization of local Muckenhoupt weighted Lebesgue spaces with variable exponent ⋮ Boundedness of fractional integral operators in Herz spaces on the hyperplane ⋮ Weighted estimates for square functions associated with operators ⋮ Extrapolation in general quasi-Banach function spaces ⋮ Local grand variable exponent Lebesgue spaces ⋮ Weak- and strong-type inequality for the cone-like maximal operator in variable Lebesgue spaces ⋮ Maximal and Calderón-Zygmund operators in grand variable Lebesgue spaces ⋮ Weighted norm inequalities for the bilinear maximal operator on variable Lebesgue spaces ⋮ Sobolev type inequalities for fractional maximal functions and Riesz potentials in Morrey spaces of variable exponent on half spaces ⋮ Weighted local Hardy spaces with variable exponents ⋮ Characterization of Lipschitz functions via commutators of multilinear singular integral operators in variable Lebesgue spaces ⋮ Inequalities for weighted spaces with variable exponents ⋮ Invertibility of Fourier convolution operators with \textit{pc} symbols on variable Lebesgue spaces with Khvedelidze weights ⋮ Pointwise and weighted Hessian estimates for Kolmogorov-Fokker-Planck-type operators ⋮ Wavelet characterization of local Muckenhoupt weighted Sobolev spaces with variable exponents ⋮ The \(B_\omega^u\) type Morrey-Triebel-Lizorkin spaces with variable smoothness and integrability ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The existence of solutions to the nonhomogeneous \(A\)-harmonic equations with variable exponent ⋮ Boundedness of maximal operators on Herz spaces with radial variable exponent ⋮ On a dual property of the maximal operator on weighted variable 𝐿^{𝑝} spaces ⋮ Weighted Besov spaces with variable exponents ⋮ Two-weight norm inequality for the one-sided Hardy-Littlewood maximal operators in variable Lebesgue spaces ⋮ Boundedness of vector valued bilinear Calderón-Zygmund operators on products of weighted Herz-Morrey spaces with variable exponents ⋮ Commutators of the fractional Hardy operator on weighted variable Herz-Morrey spaces ⋮ Characterization of Lipschitz functions via the commutators of singular and fractional integral operators in variable Lebesgue spaces ⋮ Maximal and singular integral operators in weighted grand variable exponent Lebesgue spaces ⋮ BMO functions generated by \(A_X(\mathbb{R}^n)\) weights on ball Banach function spaces ⋮ Commutators of multilinear Calderón-Zygmund operators with kernels of Dini's type and applications ⋮ Two weighted Herz spaces with variable exponents ⋮ Boundedness of vector-valued sublinear operators on weighted Herz-Morrey spaces with variable exponents ⋮ Weighted norm inequalities for the maximal operator on L^p(·) over spaces of homogeneous type ⋮ Sublinear operators on weighted Hardy spaces with variable exponents ⋮ Weighted norm inequality for bilinear Calderón-Zygmund operators on Herz-Morrey spaces with variable exponents ⋮ Extrapolation and weighted norm inequalities in the variable Lebesgue spaces ⋮ Local Muckenhoupt class for variable exponents ⋮ The Calderón operator and the Stieltjes transform on variable Lebesgue spaces with weights ⋮ Global regularity estimates for non-divergence elliptic equations on weighted variable Lebesgue spaces ⋮ Noncompactness of Fourier convolution operators on Banach function spaces ⋮ Linear operators and their commutators generated by Calderón-Zygmund operators on generalized Morrey spaces associated with ball Banach function spaces ⋮ The maximal operator on weighted variable Lebesgue spaces ⋮ The Cauchy Singular Integral Operator on Weighted Variable Lebesgue Spaces ⋮ Weighted Morrey spaces of variable exponent and Riesz potentials ⋮ Commutators of multilinear Calderón-Zygmund operator on weighted Herz-Morrey spaces with variable exponents ⋮ Banach algebra of the Fourier multipliers on weighted Banach function spaces ⋮ Greedy bases in variable Lebesgue spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a two-weighted estimation of maximal operator in the Lebesgue space with variable exponent
- Two-weight inequalities for fractional maximal functions and singular integrals in \(L^{p(\cdot)}\) spaces
- Two-weight inequalities for the maximal operator in a Lebesgue space with variable exponent
- Weights, extrapolation and the theory of Rubio de Francia.
- Lebesgue and Sobolev spaces with variable exponents
- Sharp weighted estimates for classical operators
- Orlicz spaces and modular spaces
- The fractional maximal operator and fractional integrals on variable \(L^p\) spaces
- Operators of harmonic analysis in weighted spaces with non-standard growth
- An example of a space of \(L^{p(x)}\) on which the Hardy-Littlewood maximal operator is not bounded
- Maximal and fractional operators in weighted \(L^{p(x)}\) spaces
- Sharp two-weight inequalities for singular integrals, with applications to the Hilbert transform and the Sarason conjecture
- The maximal operator in weighted variable spaces \(L^{p(\cdot)}\)
- Some remarks on the Hardy-Littlewood maximal function on variable \(L^p\) spaces
- Maximal functions on Musielak--Orlicz spaces and generalized Lebesgue spaces
- The maximal operator on weighted variable Lebesgue spaces
- An elementary approach to several results on the Hardy-Littlewood maximal operator
- On some questions related to the maximal operator on variable 𝐿^{𝑝} spaces
- 𝐿log𝐿 results for the maximal operator in variable 𝐿^{𝑝} spaces
- Boundedness criteria for maximal functions and potentials on the half-space in weighted Lebesgue spaces with variable exponents
- Weighted Inequalities for Maximal Operators: Linearization, Localization and Factorization
- A Note on Weighted Norm Inequalities for the Hardy-Littlewood Maximal Operator
- Estimates for Operator Norms on Weighted Spaces and Reverse Jensen Inequalities
- Über konjugierte Exponentenfolgen
- On a progress in the theory of lebesgue spaces with variable exponent: maximal and singular operators
- Weighted Norm Inequalities for Fractional Integrals
- Maximal function on generalized Lebesgue spaces L^p(⋅)
- Hardy-Littlewood maximal operator on L^p(x) (ℝ)
- Weighted Norm Inequalities for the Hardy Maximal Function
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
This page was built for publication: Weighted norm inequalities for the maximal operator on variable Lebesgue spaces