Weighted differentiation composition operators from the logarithmic Bloch space to the weighted-type space-Reference-Cited by-同舟云学术

Weighted differentiation composition operators from the logarithmic Bloch space to the weighted-type space

Published:2016-11-01 Issue:3 Volume:24 Page:223-240
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Li Songxiao¹,Stević Stevo²³

Affiliation:

1. Department of Mathematics, Shantou University, 515063, Shantou , GuangDong, China

2. Mathematical Institute of the Serbian Academy of Sciences, Knez Mihailova 36/III, 11000 Beograd , Serbia

3. Operator Theory and Applications Research Group, Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Abstract

Abstract The boundedness of the weighted differentiation composition opera- tor from the logarithmic Bloch space to the weighted-type space is characterized in terms of the sequence (zn)n∈N0. An asymptotic estimate of the essential norm of the operator is also given in terms of the sequence, which gives a characterization for the compactness of the operator.

Publisher

Walter de Gruyter GmbH

Reference57 articles.

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3. [3] D. C. Chang, S. Li and S. Stević, On some integral operators on the unit polydisk and the unit ball, Taiwanese J. Math. 11 (5) (2007), 1251-1286.

4. [4] F. Colonna and S. Li, Weighted composition operators from Hardy spaces into logarithmic Bloch spaces, J. Funct. Spaces Appl. Volume 2012, Article ID 454820, 20 pages.

5. [5] C. Cowen and B. MacCluer, Composition operators on spaces of analytic functions, CRC Press, Boca Raton, FL, 1995.

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