Boundedness and Essential Norm of an Operator between Weighted-Type Spaces of Holomorphic Functions on a Unit Ball-Reference-Cited by-同舟云学术

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Boundedness and Essential Norm of an Operator between Weighted-Type Spaces of Holomorphic Functions on a Unit Ball

Published:2023-09-29 Issue:10 Volume:12 Page:938
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Stević Stevo¹²^ORCID,Ueki Sei-Ichiro³^ORCID

Affiliation:

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

2. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

3. Department of Mathematical Science, Faculty of Engineering, Yokohama National University, Hodogaya, Yokohama 240-8501, Japan

Abstract

The boundedness of a sum-type operator between weighted-type spaces is characterized and its essential norm is estimated.

Funder

JSPS KAKENHI Grants-in-Aid for Scientific Research

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/10/938/pdf

Reference55 articles.

1. Rudin, W. (1980). Function Theory in the Unit Ball of Cn, Springer.

2. Gunning, R.C., and Rossi, H. (1965). Analytic Functions of Several Complex Variables, AMS Chelsea Publishing.

3. Rudin, W. (1969). Function Theory in Polydiscs, WA Benjamin.

4. Dunford, N., and Schwartz, J.T. (1958). Linear Operators I, John Willey and Sons.

5. Rudin, W. (1991). Functional Analysis, McGraw-Hill Book Campany.

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