Some endpoint estimates for commutators of θ-type Calderón-Zygmund operators

Abstract

In this note, the authors prove that the commutator T b generated by θ -type Calderón-Zygmund operator T and a Lipschitz function b is bounded from L p (R n ) into Lip (β − n p ) (R n ) and also maps from L n β (R n ) into BMO(R n ).