Product-type Operators Between Minimal M\"{o}bius Invariant Spaces and Zygmund Type Spaces

Abstract

In this work, we consider product-type operators $T^m_{u,v,\varphi}$ from minimal M\"{o}bius invariant spaces into Zygmund-type spaces. Firstly, some characterizations for the boundedness of these operators are given. Then some estimates of the essential norms of these operators are obtained. Therefore, some compactness conditions will be given.

Keywords

• essential norm
• generalized stevic-sharma type operators
• zygmund type spaces
• minimal mobius invariant spaces