Regularity of commutators of the bilinear maximal operator

DOI10.1216/rmj.2023.53.1609MaRDI QIDQ6144517

Guoru Wang, Feng Liu

Publication date: 5 January 2024

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-53/issue-5/REGULARITY-OF-COMMUTATORS-OF-THE-BILINEAR-MAXIMAL-OPERATOR/10.1216/rmj.2023.53.1609.full

zbMATH Keywords

Sobolev spaceBesov spaceTriebel-Lizorkin spacebilinear maximal commutatorcommutator of bilinear 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
• Unnamed Item
• On fractional capacities relative to bounded open Lipschitz sets
• Weighted multilinear Hardy operators and commutators
• Triebel-Lizorkin space boundedness of Marcinkiewicz integrals associated to surfaces
• On the compactness of commutators of Hardy operators
• Theory of function spaces
• The Hardy-Littlewood maximal function of a Sobolev function
• Elliptic partial differential equations of second order
• Analyticity and existence of the Keller-Segel-Navier-Stokes equations in critical Besov spaces
• Existence and Gevrey regularity for a two-species chemotaxis system in homogeneous Besov spaces
• Existence and large time behavior to coupled chemotaxis-fluid equations in Besov-Morrey spaces
• 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 \(2/3 < p \leq 1\)
• Riesz-Kolmogorov theorem in variable exponent Lebesgue spaces and its applications to Riemann-Liouville fractional differential equations
• Regularity and continuity of commutators of multilinear maximal operators
• Fractional non-linear regularity, potential and balayage
• Regularity properties of bilinear maximal function and its fractional variant
• Sobolev regularity for commutators of the fractional maximal functions
• Compactness of Riesz transform commutator on stratified Lie groups
• On the regularity of maximal operators supported by submanifolds
• On the variation of maximal operators of convolution type
• 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
• Functions of bounded variation, the derivative of the one dimensional maximal function, and applications to inequalities
• On the regularity of maximal operators
• REGULARITY OF THE FRACTIONAL MAXIMAL FUNCTION
• Gradient estimates via rearrangements for solutions of some Schrödinger equations
• Regularity and continuity of commutators of the Hardy–Littlewood maximal function

This page was built for publication: Regularity of commutators of the bilinear maximal operator