English

Composition operators acting on weighted Hilbert spaces of analytic functions

Functional Analysis 2013-08-08 v2

Abstract

In this paper, we consider composition operators on weighted Hilbert spaces of analytic functions and observe that a formula for the essential norm, give a Hilbert-Schmidt characterization and characterize the membership in Schatten-class for these operators. Also, closed range composition operators are investigated.

Keywords

Cite

@article{arxiv.1306.1018,
  title  = {Composition operators acting on weighted Hilbert spaces of analytic functions},
  author = {Mostafa Hassanlou},
  journal= {arXiv preprint arXiv:1306.1018},
  year   = {2013}
}
R2 v1 2026-06-22T00:28:18.967Z