The boundedness of commutators of sublinear operators on Herz Triebel-Lizorkin spaces with variable exponent

DOI10.1007/S00025-023-01843-4OpenAlexW4321352590MaRDI QIDQ2691554

Yanyan Li

Publication date: 29 March 2023

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.01289

zbMATH Keywords

Lipschitz spacescommutatorvariable exponentsublinear operatorHerz Triebel-Lizorkin spaces

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Multipliers for harmonic analysis in several variables (42B15)

Cites Work

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• Herz type Besov and Triebel-Lizorkin spaces with variable exponent
• Boundedness of sublinear operators on Herz spaces with variable exponent and application to wavelet characterization
• Commutators of fractional integrals on Lebesgue and herz spaces with variable exponent
• Lebesgue and Sobolev spaces with variable exponents
• Boundedness of commutators on Herz spaces with variable exponent
• Applications of Herz-type Triebel-Lizorkin spaces
• The decomposition of weighted Herz space on \(\mathbb{R}^ n\) and its applications
• Boundedness of some sublinear operators on Herz spaces
• The boundedness of commutators of sublinear operators on Herz Triebel-Lizorkin spaces
• Maximal functions measuring smoothness
• Characterization of the Besov spaces via the commutator operator of Coifman, Rochberg and Weiss

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