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Semigroups of weighted composition operators on spaces of holomorphic functions

Functional Analysis 2022-01-25 v1 Complex Variables

Abstract

This paper is based on three hours of lectures given by the first author in the "Focus Program on Analytic Function Spaces and their Applications" July 1 -- December 31, 2021, organized by the Fields Institute for Research in Mathematical Sciences. The goal of this paper is to give an introduction to the properties of discrete and continuous C0C_0-semigroups of (weighted) composition operators on various spaces of analytic functions.

Keywords

Cite

@article{arxiv.2201.09249,
  title  = {Semigroups of weighted composition operators on spaces of holomorphic functions},
  author = {I. Chalendar and J. R. Partington},
  journal= {arXiv preprint arXiv:2201.09249},
  year   = {2022}
}

Comments

34 pages, 1 figure