Boundedness and continuity of local bilinear maximal commutators on Triebel–Lizorkin spaces and Besov spaces

AIMS Mathematics 2026 Open access

Read full text
Authors: Feng Liu, Simin Liu, Xiao Zhang
DOI: 10.3934/math.2026007
Cited by: 1
References: 20

Abstract

In the present paper we investigated the mapping properties for the bilinear maximal commutator in the domain setting. Some new boundedness and continuity for the above operator on the Triebel–Lizorkin spaces and Besov spaces were established under suitable symbol function conditions. The main results essentially extend some known ones to the local setting.

Fields of Study & Subjects

Advanced Harmonic Analysis Research Nonlinear Partial Differential Equations Differential Equations and Boundary Problems

Publication details

Journal / source
AIMS Mathematics
Publisher
American Institute of Mathematical Sciences (AIMS)
Volume
11
Issue
1
Pages
167–191
Publication date
1 January 2026