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    • Bilinear pseudodifferential operators with symbol in BSm1,1 on Triebel–Lizorkin spaces with critical Sobolev index
    Authors: Sergi, Arias; Salvador, Rodríguez-López;  Advisor: -;  Co-Author: - (2023)

    In this paper we obtain new estimates for bilinear pseudodifferential operators with symbol in the class BSm1,1 , when both arguments belong to Triebel-Lizorkin spaces of the type Fn/pp,q(Rn). The inequalities are obtained as a consequence of a refinement of the classical Sobolev embedding Fn/pp,q(Rn)↪bmo(Rn), where we replace bmo(Rn) by an appropriate subspace which contains L∞(Rn). As an application, we study the product of functions on Fn/pp,q(Rn) when 1