COMMUTATOR ESTIMATES FOR VECTOR FIELDS ON BESOV SPACES WITH VARIABLE SMOOTHNESS AND INTEGRABILITY

doi:10.1007/s10473-025-0302-8

数学物理学报(英文版) ›› 2025, Vol. 45 ›› Issue (3): 771-788.doi: 10.1007/s10473-025-0302-8

COMMUTATOR ESTIMATES FOR VECTOR FIELDS ON BESOV SPACES WITH VARIABLE SMOOTHNESS AND INTEGRABILITY

BenMahmoud SALAH

Laboratory of Functional Analysis and Geometry of Spaces, Department of Mathematics, M'sila University, M'sila 28000, Algeria; Department of Mathematics, Faculty of Science and Technology, University of Ahmed Zabana, Relizane 48000, Algeria

收稿日期:2024-01-03 修回日期:2024-04-27 出版日期:2025-05-25 发布日期:2025-09-30

COMMUTATOR ESTIMATES FOR VECTOR FIELDS ON BESOV SPACES WITH VARIABLE SMOOTHNESS AND INTEGRABILITY

BenMahmoud SALAH

Laboratory of Functional Analysis and Geometry of Spaces, Department of Mathematics, M'sila University, M'sila 28000, Algeria; Department of Mathematics, Faculty of Science and Technology, University of Ahmed Zabana, Relizane 48000, Algeria

Received:2024-01-03 Revised:2024-04-27 Online:2025-05-25 Published:2025-09-30
About author:BenMahmoud SALAH, E-mail: salah.benmahmoud@univ-msila.dz; salah.benmahmoud@univ-relizane.dz

摘要/Abstract

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.

关键词: commutator, vector fields, Besov space, variable exponent

Abstract: 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.

Key words: commutator, vector fields, Besov space, variable exponent

中图分类号:

46E35

BenMahmoud SALAH. COMMUTATOR ESTIMATES FOR VECTOR FIELDS ON BESOV SPACES WITH VARIABLE SMOOTHNESS AND INTEGRABILITY[J]. 数学物理学报(英文版), 2025, 45(3): 771-788.

BenMahmoud SALAH. COMMUTATOR ESTIMATES FOR VECTOR FIELDS ON BESOV SPACES WITH VARIABLE SMOOTHNESS AND INTEGRABILITY[J]. Acta mathematica scientia,Series B, 2025, 45(3): 771-788.

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COMMUTATOR ESTIMATES FOR VECTOR FIELDS ON BESOV SPACES WITH VARIABLE SMOOTHNESS AND INTEGRABILITY

COMMUTATOR ESTIMATES FOR VECTOR FIELDS ON BESOV SPACES WITH VARIABLE SMOOTHNESS AND INTEGRABILITY

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