On the boundedness of Pseudo-differential operators on Triebel-Lizorkin and Besov spaces

Abstract

In this work we show endpoint boundedness properties of pseudo-differential operators of type $(\rho ,\rho )$, $0<\rho <1$, on Triebel-Lizorkin and Besov spaces. Our results are sharp and they also cover operators defined by compound symbols.

Journal of Mathematical Analysis and Applications, 2018

References in corpus (3)

• Compactness Properties of Weighted Summation Operators on Trees
• Domains of pseudo-differential operators: a case for the Triebel--Lizorkin spaces
• Type 1,1-operators defined by vanishing frequency modulation

Cited by in corpus (1)

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