$T1$ theorem for inhomogeneous Triebel--Lizorkin and Besov spaces on RD-spaces and its application

Document Type: Original Article

Authors

China University of Mining and Technology(Beijing)

Abstract

Using Calder'{o}n's reproducing formulas and almost orthogonal estimates, the $T1$ theorem for the inhomogeneous Triebel--Lizorkin and Besov spaces on RD-spaces is obtained. As an application, new characterizations for these spaces with ``half" the usual conditions of the approximate to the identity are presented.

Keywords