Estimates of bilinear pseudodifferential operators associated to bilinear H??rmander classes in Besov and Triebela??Lizorkin spaces with variable exponents

摘要

In this paper, we give Leibniz-type estimates of bilinear pseudodifferential operators associated to bilinear H??rmander classes in Besov and Triebela??Lizorkin spaces with variable exponents. To obtain the estimate for Triebela??Lizorkin spaces with variable exponents, we present their approximation characterization.