Regularity for commutators of the local multilinear fractional maximal operators

DOI10.1515/ANONA-2020-0162zbMath1466.42017OpenAlexW3112126406MaRDI QIDQ2035492

Xiao Zhang, Feng Liu

Publication date: 24 June 2021

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2020-0162

zbMATH Keywords

Sobolev spacecommutatorlocal multilinear fractional maximal operator

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characterization of Lipschitz spaces via commutators of the Hardy-Littlewood maximal function
• Multiple weighted estimates for commutators of multilinear maximal function
• New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory
• 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
• The variation of the maximal function of a radial function
• 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
• Weak differentiability for fractional maximal functions of general \(L^p\) functions on domains
• Sobolev regularity for commutators of the fractional maximal functions
• 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
• Derivative bounds for fractional maximal functions
• 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
• The Variation of the Fractional Maximal Function of a Radial Function

This page was built for publication: Regularity for commutators of the local multilinear fractional maximal operators