Composition operators on normal weight Dirichlet space-Reference-Cited by-同舟云学术

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Composition operators on normal weight Dirichlet space

Published:2022 Issue:18 Volume:36 Page:6245-6252
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Tang Pengcheng¹,Zhang Xuejun¹

Affiliation:

1. College of Mathematics and Statistics, Hunan Normal University, Changsha, Hunan, China

Abstract

By using Bergman ball and Carleson domain, the authors give several equivalent characterizations for which composition operator is bounded or compact on the normal weight Dirichlet type spaces in this paper.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference28 articles.

1. C. Cowen, B. MacCluer, Composition operators on spaces of analytic functions, CRC Press, Boca Raton, 1995.

2. J. Shapiro, Composition operators and classical function theory, Springer-verlag, New York, 1993.

3. R. Kumar, K. Singh, Essential normal of weighted composition operators on the Dirichlet space, Extracta Mathematicae 21(2006) 249-259.

4. S. Kumar, Weighted composition operators between spaces of Dirichlet type, Revista Matematica Complutense 22(2009) 469-488.

5. G. Mirzakarimi, K. Seddighi, Weighted composition operators on Bergman and Dirichlet spaces, Georgian Mathematical Journal 4(1997) 373-383.

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