加权Bergman空间到Bloch-Orlicz空间上的乘积型算子

Product-type operators from weighted Bergman spaces to Bloch-Orlicz spaces

摘要:

本文通过在加权Bergman空间中构造合适的测试函数，利用符号函数刻画了加权Bergman空间到Bloch-Orlicz空间上乘积型算子的有界性和紧致性.

Abstract:

By constructing some suitable test functions in weighted Bergman space, the boundedness and compactness of the product-type operators from the weighted Bergman space to the Bloch-Orlicz space are characterized in terms of the symbol functions in this paper.