Hardy-Littlewood-Sobolev inequality on mixed-norm Lebesgue spaces

DOI10.1007/s12220-021-00855-2zbMath1482.42020arXiv1912.03712OpenAlexW4226462395MaRDI QIDQ2075344

Ting Chen, Wen-chang Sun

Publication date: 14 February 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.03712

zbMATH Keywords

fractional integralsHardy-Littlewood-Sobolev inequalitymixed normsRiesz potentials

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Radon transform (44A12)

Related Items (10)

Fourier transform of Hardy spaces associated with ball quasi-Banach function spaces* ⋮ Restricted estimates of the fractional integral on the diagonal ⋮ Extrapolations on ball Banach function spaces and applications ⋮ The Mihlin multiplier theorem on anisotropic mixed-norm Hardy spaces ⋮ Estimate for some integral operators and their commutators on generalized fractional mixed Morrey spaces ⋮ \(L^{\vec{p}}-L^{\vec{q}}\) boundedness of multiparameter Forelli-Rudin type operators on the product of unit balls of \(\mathbb{C}^n\) ⋮ Real interpolation for mixed Lorentz spaces and Minkowski's inequality ⋮ Summability in anisotropic mixed-norm Hardy spaces ⋮ Fourier Transform of Anisotropic Mixed-norm Hardy Spaces with Applications to Hardy-Littlewood Inequalities ⋮ Summability of Fourier transforms on mixed-norm Lebesgue spaces via associated Herz spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiple vector-valued inequalities via the helicoidal method
• On weighted mixed-norm Sobolev estimates for some basic parabolic equations
• Leibniz's rule, sampling and wavelets on mixed Lebesgue spaces
• Estimates for translation invariant operators in \(L^p\) spaces
• The spaces \(L^ p\), with mixed norm
• Calderón-Zygmund theory for operator-valued kernels
• Vector-valued singular integral operators on \(L^ p\)-spaces with mixed norms and applications
• On interpolation of \(2^ n \)Banach spaces and Lorentz spaces with mixed norms
• Sharp mixed norm spherical restriction
• On mixed norm Bergman-Orlicz-Morrey spaces
• Anisotropic mixed-norm Hardy spaces
• The \(K_ t\)-functional for the interpolation couple \(L_ 1(A_ 0), L_{\infty}(A_ 1)\)
• Atomic and Littlewood-Paley characterizations of anisotropic mixed-norm Hardy spaces and their applications
• On Hardy inequality in variable Lebesgue spaces with mixed norm
• Quasi-Banach valued inequalities via the helicoidal method
• Radial multipliers and restriction to surfaces of the Fourier transform in mixed-norm spaces
• Wavelet transforms for homogeneous mixed-norm Triebel-Lizorkin spaces
• Classical operators on mixed-normed spaces with product weights
• On a class of interpolation spaces
• Iterated weak and weak mixed-norm spaces with applications to geometric inequalities
• Extension of multilinear fractional integral operators to linear operators on mixed-norm Lebesgue spaces
• Analysis in Banach Spaces
• Anisotropic Lizorkin-Triebel spaces with mixed norms - traces on smooth boundaries
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• On Function Spaces with Mixed Norms — A Survey
• An Extended Inequality for the Maximal Function
• Two-Weight Mixed Norm Estimates for a Generalized Spherical Mean Radon Transform Acting on Radial Functions
• Factorization in mixed norm Hardy and BMO spaces
• Dual spaces of anisotropic mixed-norm Hardy spaces
• CALDERÓN–ZYGMUND OPERATORS ON MIXED LEBESGUE SPACES AND APPLICATIONS TO NULL FORMS
• Smoothing properties of bilinear operators and Leibniz-type rules in Lebesgue and mixed Lebesgue spaces
• On (L p 0 (A 0 ), L p 1 (A 1 )) θ, q
• Classical and Multilinear Harmonic Analysis
• Classical Fourier Analysis
• Modern Fourier Analysis
• Mixed norm estimates for the Cesàro means associated with Dunkl–Hermite expansions
• Some Maximal Inequalities
• Interpolation of r-Banach spaces

This page was built for publication: Hardy-Littlewood-Sobolev inequality on mixed-norm Lebesgue spaces