Endpoint estimates for multilinear fractional singular integral operators on Herz and Herz type Hardy spaces

DOI10.3934/MATH.2021293zbMath1487.42030OpenAlexW3133936831MaRDI QIDQ2133242

Dazhao Chen

Publication date: 29 April 2022

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

Full work available at URL: https://doi.org/10.3934/math.2021293

zbMATH Keywords

BMO spacemultilinear operatorHerz spaceHerz type Hardy spacefractional singular integral operators

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Cites Work

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• A BMO estimate for multilinear singular integrals
• Factorization theorems for Hardy spaces in several variables
• Boundedness of commutators of fractional and singular integrals for the extreme values of \(p\)
• The continuity of commutators on Herz-type spaces
• The decomposition of weighted Herz space on \(\mathbb{R}^ n\) and its applications
• The weighted Herz-type Hardy space and its applications
• A note on the Marcinkiewicz integral
• On multilinear singular integrals on $R^{n}$
• A Theory of Hardy Spaces Associated to the Herz Spaces
• Hardy Spaces and Beurling Algebras
• Weighted boundedness for a class of rough multilinear operators

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