Essential norm of generalized integral type operator from QK(p,q) to Zygmund spaces-Reference-Cited by-同舟云学术

Essential norm of generalized integral type operator from QK(p,q) to Zygmund spaces

Published:2023 Issue:16 Volume:37 Page:5273-5282
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Manavi Ayyoub¹,Hassanlou Mostafa²,Vaezi Hamid³

Affiliation:

1. Department of Mathematics, Sarab Branch, Islamic Azad University, Sarab, Iran

2. Engineering Faculty of Khoy, Urmia University of Technology, Urmia, Iran

3. Faculty of Mathematics, Statistics and Computer Sciences, University of Tabriz, Tabriz, Iran

Abstract

Let ? be an analytic self-map on D, n ? N and 1 ? H(D). We consider the essential norm of the generalized integral-type operator Cn ?,g : QK (p,q) ? Z? that is defined as follows (Cn ?,g f) (z) = ?z0 f(n)(?(?))1(?) d?, for all f ? QK (p,q). We give an estimate for the essential norm of the above operator.

Publisher

National Library of Serbia

Reference35 articles.

1. F. Alighadr Ardebili, H. Vaezi, M. Hassanlou, Generalized integration operator between the Bloch-type space and weighted Dirichlet-type spaces, Kyungpook Math. J. 60 (2020) 519-534.

2. J. Guo, Y. Liu, Generalized integration operators from mixed-norm to Zygmund-type spaces, Bull. Malay. Math. Soc. 39 (2016) 1043-1057.

3. S. Li, S. Stević, Volterra-type operators on Zygmund spaces, J. Inequal. Appl. 2007 (2007) Article ID 32124.

4. S. Li, S. Stević, Generalized composition operators on Zygmund spaces and Bloch type spaces, J. Math. Anal. Appl. 338 (2008) 1282-1295.

5. S. Li, S. Stević, Products of Volterra type operator and composition operator from H∞ and Bloch spaces to the Zygmund space, J. Math. Anal. Appl. 345 (2008) 40-52.