English

Compact composition operators on weighted Hilbert spaces of analytic functions

Functional Analysis 2010-05-02 v1 Classical Analysis and ODEs

Abstract

We characterize the compactness of composition operators; in term of generalized Nevanlinna counting functions, on a large class of Hilbert spaces of analytic functions, which can be viewed between the Bergman and the Dirichlet spaces

Keywords

Cite

@article{arxiv.1004.3221,
  title  = {Compact composition operators on weighted Hilbert spaces of analytic functions},
  author = {Karim Kellay and Pascal Lefèvre},
  journal= {arXiv preprint arXiv:1004.3221},
  year   = {2010}
}
R2 v1 2026-06-21T15:12:05.365Z