Toeplitz Type Operators Associated with Generalized Calderón-Zygmund Operator on Weighted Morrey Spaces

Abstract EN

Let T1 be a generalized Calderón-Zygmund operator or ±I (the identity operator), let T2 and T4 be the linear operators, and let T3=±I.

Denote the Toeplitz type operator by Tb=T1MbIαT2+T3IαMbT4, where Mbf=bf and Iα is the fractional integral operator.

In this paper, we investigate the boundedness of the operator Tb on weighted Morrey space when b belongs to the weighted BMO spaces.