English

Essential Norms of difference of generalized composition Operators from $\alpha$-Bloch spaces to $\beta$-Bloch spaces

Complex Variables 2020-04-06 v1

Abstract

In this paper, we study the boundedness and essential norms of the differences of two generalized composition operators acting from α\alpha-Bloch space to β\beta-Bloch space on the open unit disk. From essential norms, we get the compactness of the differences of two generalized composition operators. This study has a relationship to the topological structure of generalized composition operators acting from α\alpha-Bloch space to β\beta-Bloch space.

Keywords

Cite

@article{arxiv.2004.01350,
  title  = {Essential Norms of difference of generalized composition Operators from $\alpha$-Bloch spaces to $\beta$-Bloch spaces},
  author = {Ning Xu and Ze-Hua Zhou},
  journal= {arXiv preprint arXiv:2004.01350},
  year   = {2020}
}