Difference of Differentiation Composition Operators on the Fractional Cauchy Transforms Spaces

作者：Wang, Maofa; Guo, Xin^*

来源：Numerical Functional Analysis and Optimization, 2018, 39(12): 1291-1315.

DOI：10.1080/01630563.2018.1477798

• Bloch-type space
• difference of differentiation composition operator
• fractional Cauchy transforms space
• weighted Dirichlet space

In this paper, we consider the boundedness and compactness of the differences of differentiation composition operators from the space of fractional Cauchy transforms to the Bloch-type spaces and the weighted Dirichlet spaces. Surprisingly, these characterizations are free from pseudo-hyperbolic metric, which is a common feature of all the preceding characterizations of difference of differentiation composition operators on various spaces of holomorphic functions.

• 出版日期2018
• 单位武汉大学