Identification of anisotropic mixed-norm Hardy spaces and certain homogeneous Triebel-Lizorkin spaces

DOI10.1016/j.jat.2020.105459zbMath1448.42030OpenAlexW3044516084MaRDI QIDQ2202789

Wen Yuan, Long Huang, Jun Liu, Da Chun Yang

Publication date: 30 September 2020

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2020.105459

zbMATH Keywords

atomLittlewood-Paley functionpseudo-differential operatorFourier multiplieranisotropic (mixed-norm) Hardy spaceanisotropic homogeneous (mixed-norm) Triebel-Lizorkin space

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15) (H^p)-spaces (42B30) Pseudodifferential operators (47G30)

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Cites Work

• Unnamed Item
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• Generalized Morrey spaces and trace operator
• Characterisation by local means of anisotropic Lizorkin-Triebel spaces with mixed norms
• Leibniz's rule, sampling and wavelets on mixed Lebesgue spaces
• The spaces \(L^ p\), with mixed norm
• On anisotropic Triebel-Lizorkin type spaces, with applications to the study of pseudo-differential operators
• Morrey and Campanato meet Besov, Lizorkin and Triebel
• Anisotropic mixed-norm Hardy spaces
• Real-variable characterizations of new anisotropic mixed-norm Hardy spaces
• Atomic and Littlewood-Paley characterizations of anisotropic mixed-norm Hardy spaces and their applications
• Molecular decomposition of anisotropic homogeneous mixed-norm spaces with applications to the boundedness of operators
• Wavelet transforms for homogeneous mixed-norm Triebel-Lizorkin spaces
• Anisotropic Triebel-Lizorkin spaces with doubling measures
• Hardy spaces via distribution spaces
• \(H^p\) spaces of several variables
• Pseudodifferential operators on mixed-norm Besov and Triebel-Lizorkin spaces
• Anisotropic Lizorkin-Triebel spaces with mixed norms - traces on smooth boundaries
• On functions of bounded mean oscillation
• Weighted anisotropic product Hardy spaces and boundedness of sublinear operators
• Problems in harmonic analysis related to curvature
• Anisotropic Hardy spaces and wavelets
• Dual spaces of anisotropic mixed-norm Hardy spaces
• Smoothing properties of bilinear operators and Leibniz-type rules in Lebesgue and mixed Lebesgue spaces
• A T(b) theorem with remarks on analytic capacity and the Cauchy integral
• Mixed-norm $\alpha $-modulation spaces
• Classical Fourier Analysis
• Fourier multipliers on anisotropic mixed-norm spaces of distributions
• Singular integrals with mixed homogeneity
• Atomic and molecular decompositions of anisotropic Triebel-Lizorkin spaces

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