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.
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
.
DOI: 10.1007/s10473-025-0302-8
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