English

Nevanlinna counting functions and pull-back measures on maximal ideal space of $H^\infty$

Functional Analysis 2022-04-29 v2 Complex Variables Operator Algebras

Abstract

In this paper we give precise characterizations of the relation between the Nevanlinna counting function and pull-back measure of an analytic self-map of the unit disk near the boundary. We show that it is quite worth considering these two concepts on the maximal ideal space of the bounded analytic functions.

Keywords

Cite

@article{arxiv.2204.11226,
  title  = {Nevanlinna counting functions and pull-back measures on maximal ideal space of $H^\infty$},
  author = {Yong-Xin Gao and Yuxia Liang and Ze-Hua Zhou},
  journal= {arXiv preprint arXiv:2204.11226},
  year   = {2022}
}

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16 pages