On the regularity of bilinear maximal operator

DOI10.21136/CMJ.2022.0153-22MaRDI QIDQ5878430

Guoru Wang, Feng Liu

Publication date: 21 February 2023

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Besov spaceLipschitz spaceTriebel-Lizorkin spaceapproximate differentiabilitybilinear maximal operator\(p\)-quaiscontinuous

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

• Triebel-Lizorkin space boundedness of Marcinkiewicz integrals associated to surfaces
• The Hardy-Littlewood maximal function of a Sobolev function
• Boundedness of Hardy-Littlewood maximal operator in the framework of Lizorkin-Triebel spaces.
• A class of bounded operators on Sobolev spaces
• The bilinear maximal functions map into \(L^p\) for \(2/3 < p \leq 1\)
• Sobolev spaces with zero boundary values on metric spaces
• Regularity properties of bilinear maximal function and its fractional variant
• On the regularity of maximal operators supported by submanifolds
• On totally differentiable and smooth functions
• On the regularity of the Hardy-Littlewood maximal operator on subdomains of ℝⁿ
• On approximate differentiability of the maximal function
• Continuity of the maximal operator in Sobolev spaces
• On the Regularity of the Multisublinear Maximal Functions
• On the regularity of maximal operators
• REGULARITY OF THE FRACTIONAL MAXIMAL FUNCTION
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