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

DOI10.1007/s13226-021-00127-3zbMath1480.42019OpenAlexW3186528007MaRDI QIDQ2243063

Chenglong Fang, Jiang Zhou

Publication date: 10 November 2021

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-021-00127-3

zbMATH Keywords

Lipschitz spacecommutatorTriebel-Lizorkin spaceHerz spacesublinear operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (1)

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

Cites Work

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• The extension problem for certain function spaces involving fractional orders of differentiability
• Theory of function spaces
• The decomposition of weighted Herz space on \(\mathbb{R}^ n\) and its applications
• Boundedness of some sublinear operators on Herz spaces
• Regularity of solutions to elliptic equations on Herz spaces with variable exponents
• Decompositions of non-homogeneous Herz-type Besov and Triebel-Lizorkin spaces
• Boundedness of commutators on Hardy type spaces
• Maximal functions measuring smoothness
• Embedding and multiplier theorems for 𝐻^{𝑃}(𝑅ⁿ)
• Homogeneous Herz spaces with variable exponents and regularity results
• Characterization of the Besov spaces via the commutator operator of Coifman, Rochberg and Weiss

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