Boundedness of pseudo-differential operators of type (0,0) on Triebel-Lizorkin and Besov spaces

Abstract

In this work we establish sharp boundedness results for pseudo-differential operators corresponding to $a\in {\mathcal{S}}_{0,0}^m$ on Triebel-Lizorkin spaces $F_p^{s,q}$ and Besov spaces $B_p^{s,q}$.