对数Bergman 型空间到Bloch空间上的Stevic-Sharma 算子

Stevic-Sharma operators from Logarithmic Bergman-type spaces to Bloch spaces

摘要:

设是复平面中的开单位圆盘，是到自身的解析映射，是上的解析函数空间. 为了统一研究复合算子、乘积算子和微分算子三者的乘积，Stevic和Sharma 引进了Stevic-Sharma 算子. 受最新研究成果的影响，本文利用符号函数给出了对数Bergman 型空间到Bloch空间上Stevic-Sharma 算子的有界性、紧性刻画。

Abstract:

Let D be the open unit disk in the complex plane C. In order to unify the products of composition, multiplication and differentiation operators, Stevic and Sharma introduced the following, so-called, Stevic-Sharma operator. Motivated by the recent results of this operator, the boundedness and compactness of the operatorfrom logarithmic Bergman-type space to Bloch space are characterized in this paper.