单位球上µ-Bloch空间到Zygmund型空间的加权Cesàro算子(Extended Cesàro operators from µ-Bloch spaces to Zygmund type spaces in the unit ball)

Abstract

Supposing that α>0,let g be holomorphic functions in the unit ball B and µ(r) be a normal function on [0,1). Some questions of extended Cesàro operators are studied from µ-Bloch spaces to Zygmund type spaces in the unit ball. By the methods of functional analysis and several complex variables,the necessary and sufficient conditions are given for extended Cesàro operators Tg to be bounded and compact from µ-Bloch spaces to Zygmund type spaces.

Keywords

• µ-bloch spaces
• zygmund type spaces
• extended cesàro operator
• boundedness
• compactness