Annals of Functional Analysis

Essential norm of the composition operators on the general spaces Hω,p of Hardy spaces

S. Rezaei

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Abstract

We obtain estimates for the essential norm of the composition operators acting on the general spaces Hω,p of Hardy spaces. Our characterization is given in terms of generalized Nevanlinna counting functions.

Article information

Source
Ann. Funct. Anal. Volume 9, Number 2 (2018), 180-189.

Dates
Received: 23 October 2016
Accepted: 28 March 2017
First available in Project Euclid: 11 October 2017

Permanent link to this document
https://projecteuclid.org/euclid.afa/1507708815

Digital Object Identifier
doi:10.1215/20088752-2017-0037

Subjects
Primary: 47B38: Operators on function spaces (general)
Secondary: 30H99: None of the above, but in this section 30H20: Bergman spaces, Fock spaces

Keywords
$H_{\omega,p}$ space composition operator essential norm

Citation

Rezaei, S. Essential norm of the composition operators on the general spaces $H_{\omega,p}$ of Hardy spaces. Ann. Funct. Anal. 9 (2018), no. 2, 180--189. doi:10.1215/20088752-2017-0037. https://projecteuclid.org/euclid.afa/1507708815


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