Littlewood-Paley and finite atomic characterizations of anisotropic variable Hardy-Lorentz spaces and their applications
DOI10.1007/s00041-018-9609-3zbMath1415.42012OpenAlexW2799430129MaRDI QIDQ2420235
Jun Liu, Wen Yuan, Ferenc Weisz, Da Chun Yang
Publication date: 5 June 2019
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00041-018-9609-3
Littlewood-Paley functionBochner-Riesz meansvariable exponentexpansive matrixWeierstrass meansfinite atom(Hardy-)Lorentz space
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) Function spaces arising in harmonic analysis (42B35) Summability in several variables (42B08)
Related Items
Cites Work
- Summability of Multi-Dimensional Trigonometric Fourier Series
- The Hardy–Lorentz spaces Hp,q(Rn)
- Gradient estimates for thep(x)-Laplacean system
- Wiener amalgams and pointwise summability of Fourier transforms and Fourier series
- Variable Exponent, Linear Growth Functionals in Image Restoration
- COMMUTATORS OF SINGULAR INTEGRAL OPERATORS
- Intermediate spaces and interpolation, the complex method
- Atomic and molecular decompositions of anisotropic Triebel-Lizorkin spaces
- Locally bounded linear topological spaces
- Cesàro summability with respect to two-parameter Walsh systems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Characterizations of variable exponent Hardy spaces via Riesz transforms
- Trace and extension operators for Besov spaces and Triebel-Lizorkin spaces with variable exponents
- Variable weak Hardy spaces and their applications
- Anisotropic Hardy-Lorentz spaces and their applications
- \(L^{p(\cdot), \lambda(\cdot)}\) regularity for fully nonlinear elliptic equations
- Atomic decompositions of Hardy spaces with variable exponents and its application to bounded linear operators
- A variation norm Carleson theorem
- Continuous characterizations of Besov-Lizorkin-Triebel spaces and new interpretations as coorbits
- Hardy spaces with variable exponents and generalized Campanato spaces
- New real-variable characterizations of Musielak-Orlicz Hardy spaces
- Variable Lebesgue spaces. Foundations and harmonic analysis
- Tempered homogeneous function spaces
- Intrinsic square function characterizations of Hardy spaces with variable exponents
- Littlewood-Paley characterizations of Hajłasz-Sobolev and Triebel-Lizorkin spaces via averages on balls
- Real-variable theory of Musielak-Orlicz Hardy spaces
- Marcinkiewicz-Fejér means of \(d\)-dimensional Walsh--Fourier series
- Generalized Hardy spaces
- New properties of Besov and Triebel-Lizorkin spaces on RD-spaces
- Lebesgue and Sobolev spaces with variable exponents
- Complex interpolation of Besov spaces and Triebel-Lizorkin spaces with variable exponents
- Real-variable characterizations of anisotropic product Musielak-Orlicz Hardy spaces
- Orlicz spaces and modular spaces
- On the theory of harmonic functions of several variables
- Besov spaces with variable smoothness and integrability
- Parabolic initial boundary value problems in nonsmooth cylinders with data in anisotropic Besov spaces
- The Navier-Stokes equations in nonendpoint borderline Lorentz spaces
- Lebesgue points of two-dimensional Fourier transforms and strong summability
- Littlewood-Paley functions on homogeneous groups
- A theory of Besov and Triebel-Lizorkin spaces on metric measure spaces modeled on Carnot-Carathéodory spaces
- Function spaces of variable smoothness and integrability
- Maximal function characterizations of Hardy spaces on RD-spaces and their applications
- Parabolic maximal functions associated with a distribution
- Parabolic maximal functions associated with a distribution. II
- An atomic decomposition of distributions in parabolic \(H^p\) spaces
- Electrorheological fluids: modeling and mathematical theory
- Littlewood-Paley characterizations of anisotropic Hardy-Lorentz spaces
- Sharp decay estimates in Lorentz spaces for nonnegative Schrödinger heat semigroups
- New characterizations of Besov-Triebel-Lizorkin-Hausdorff spaces including coorbits and wavelets
- Critical variable exponent functionals in image restoration
- (\(C,\alpha\)) summability of Walsh--Kaczmarz--Fourier series
- Regularity results for stationary electro-rheological fluids
- Duality of weighted anisotropic Besov and Triebel-Lizorkin spaces
- Characterization of parabolic Hardy spaces by Littlewood-Paley functions
- Convergence and summability of Fourier transforms and Hardy spaces
- Littlewood-Paley characterization and duality of weighted anisotropic product Hardy spaces
- Maximal operators of Vilenkin-Nörlund means
- Anisotropic meshless frames on \(\mathbb R^{n}\)
- A boundedness criterion via atoms for linear operators in Hardy spaces
- Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces
- The Hardy space \(H^1\) with non-doubling measures and their applications
- Anisotropic variable Hardy-Lorentz spaces and their real interpolation
- Almost everywhere convergence of sequences of Cesàro and Riesz means of integrable functions with respect to the multidimensional Walsh system
- New Hardy spaces of Musielak-Orlicz type and boundedness of sublinear operators
- Global gradient estimates for the \(p(\cdot)\)-Laplacian
- Boundedness of sublinear operators in Hardy spaces on RD-spaces via atoms
- Pointwise convergence of cone-like restricted two-dimensional \((C,1)\) means of trigonometric Fourier series
- Almost everywhere convergence of \((C,\alpha)\)-means of cubical partial sums of \(d\)-dimensional Walsh--Fourier series
- Besov-type spaces with variable smoothness and integrability
- On convergence and growth of partial sums of Fourier series
- On a class of interpolation spaces
- Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
- \(H^p\) spaces of several variables
- Some new functional spaces
- On the theory of spaces \(\Lambda\)
- Weak Musielak-Orlicz Hardy spaces and applications
- The space Weak H¹
- Littlewood–Paley characterizations for Hardy spaces on spaces of homogeneous type
- On the $H^1$--$L^1$ boundedness of operators
- The relation between variable Bessel potential spaces and Triebel–Lizorkin spaces
- Weighted anisotropic Hardy spaces and their applications in boundedness of sublinear operators
- Extensions of Hardy spaces and their use in analysis
- Anisotropic Hardy spaces and wavelets
- Theorems on Fourier Series and Power Series
- Anisotropic Hardy-Lorentz Spaces with Variable Exponents
- Variable Hardy–Lorentz spaces
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Interpolation Between H p Spaces: The Real Method
- Bochner–Riesz Means on Euclidean Spaces
- Classical Fourier Analysis
- Modern Fourier Analysis
- Lorentz spaces with variable exponents
- Image Decompositions Using Spaces of Variable Smoothness and Integrability
- Variable Hardy Spaces
- Summability of Multi-Dimensional Fourier Series and Hardy Spaces
- Finite Element Approximation of the $p(\cdot)$-Laplacian
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