ON CERTAIN COMMUTATOR ESTIMATES FOR VECTOR FIELDS ON VARIABLE TRIEBEL-LIZORKIN SPACES
1 : Laboratory of Pure and Applied Mathematics
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In this paper we present some estimations for commutators on Triebel-Lizorkin spaces with variable smoothness and integrability, and under no vanishing assumptions on the divergence of vector fields. Such commutator estimates are motivated by thes studyof well-posedness results for some models in incompressible fluid mechanics.