Sobolev boundedness and continuity for commutators of the local Hardy–Littlewood maximal function

DOI10.54330/afm.113296zbMath1481.42025OpenAlexW4206411008MaRDI QIDQ5024064

Kôzô Yabuta, Feng Liu, Qing Ying Xue

Publication date: 28 January 2022

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.54330/afm.113296

zbMATH Keywords

Sobolev spacecontinuityboundednesscommutatormaximal commutatorlocal Hardy-Littlewood maximal function

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items

Pointwise gradient estimates and Sobolev boundedness for commutators of fractional new maximal operators, Commutators of local bilinear maximal operator with Sobolev symbols

Cites Work

• Characterization of Lipschitz spaces via commutators of the Hardy-Littlewood maximal function
• Maximal commutators of BMO functions and singular integral operators with non-smooth kernels on spaces of homogeneous type
• The Hardy-Littlewood maximal function of a Sobolev function
• Hardy's inequalities for Sobolev functions
• Boundedness of Hardy-Littlewood maximal operator in the framework of Lizorkin-Triebel spaces.
• Regularity of the local fractional maximal function
• Regularity and continuity of local multilinear maximal type operators
• Regularity and continuity of the multilinear strong maximal operators
• A note on maximal commutators and commutators of maximal functions
• On the regularity of maximal operators supported by submanifolds
• Endpoint Sobolev and BV continuity for maximal operators
• On the variation of maximal operators of convolution type
• On the product of functions in BMO and H\(^1\)
• Derivative bounds for fractional maximal functions
• Regularity of Maximal Operators: Recent Progress and Some Open Problems
• On the regularity of the Hardy-Littlewood maximal operator on subdomains of ℝⁿ
• Continuity of the maximal operator in Sobolev spaces
• Functions of bounded variation, the derivative of the one dimensional maximal function, and applications to inequalities
• On the Regularity of the Multisublinear Maximal Functions
• On the regularity of maximal operators
• REGULARITY OF THE FRACTIONAL MAXIMAL FUNCTION
• Commutators for the maximal and sharp functions
• Regularity and continuity of commutators of the Hardy–Littlewood maximal function
• Second Order Estimates in Interpolation Theory and Applications
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