Commutator estimates for vector fields on Besov spaces with variable smoothness and integrability

被引：0
|
作者：
BenMahmoud Salah [1 ]
机构：
[1] M’sila University,Laboratory of Functional Analysis and Geometry of Spaces, Department of Mathematics
[2] University of Ahmed Zabana,Department of Mathematics, Faculty of Science and Technology
来源：
Acta Mathematica Scientia | 2025年 / 45卷 / 3期
关键词：
commutator; vector fields; Besov space; variable exponent; 46E35; 42B37;
D O I：
10.1007/s10473-025-0302-8
中图分类号：
学科分类号：
摘要：
In this paper we present certain bilinear estimates for commutators on Besov spaces with variable smoothness and integrability, and under no vanishing assumptions on the divergence of vector fields. Such commutator estimates are motivated by the study of well-posedness results for some models in incompressible fluid mechanics.
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页码：771 / 788
页数：17
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