English

Compact intertwining relations for composition operators on $H^\infty$ and the Bloch spaces

Functional Analysis 2018-09-17 v5 Complex Variables

Abstract

On the space of bounded analytic functions and the Bloch space on the unit disk, we study the compact intertwining relations for composition operators, whose intertwining operators are Volterra type operators. Further, we consider the compact intertwining relations, which are between the whole collection of composition operators and some Volterra operator, and the whole collection of bounded Volterra operators and some composition operator.

Keywords

Cite

@article{arxiv.1101.0338,
  title  = {Compact intertwining relations for composition operators on $H^\infty$ and the Bloch spaces},
  author = {Ce-Zhong Tong and Cheng Yuan and Ze-Hua Zhou},
  journal= {arXiv preprint arXiv:1101.0338},
  year   = {2018}
}

Comments

19 pages

R2 v1 2026-06-21T17:06:24.384Z