Stević-Sharma Type Operators on Bergman Spaces Induced by Doubling Weights

Ching On Lo; Anthony Wai keung Loh

doi:10.1007/s40840-024-01820-2

Stević-Sharma Type Operators on Bergman Spaces Induced by Doubling Weights

Division of Science, Engineering and Health Studies (SEHS)

Research output: Contribution to journal › Article › peer-review

Abstract

We characterize the order boundedness of Stević-Sharma type operators between Bergman spaces induced by doubling weights. We also investigate bounded and compact Stević-Sharma type operators from these weighted Bergman spaces to weighted Banach spaces. Moreover, the norm and essential norm estimates for this class of operators are obtained.

Original language	English
Article number	34
Journal	Bulletin of the Malaysian Mathematical Sciences Society
Volume	48
Issue number	2
DOIs	https://doi.org/10.1007/s40840-024-01820-2
Publication status	Published - Mar 2025

Keywords

Bergman space
Doubling weight
Essential norm
Stević-Sharma type operator
Weighted Banach space

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10.1007/s40840-024-01820-2

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abstract = "We characterize the order boundedness of Stevi{\'c}-Sharma type operators between Bergman spaces induced by doubling weights. We also investigate bounded and compact Stevi{\'c}-Sharma type operators from these weighted Bergman spaces to weighted Banach spaces. Moreover, the norm and essential norm estimates for this class of operators are obtained.",

keywords = "Bergman space, Doubling weight, Essential norm, Stevi{\'c}-Sharma type operator, Weighted Banach space",

author = "Lo, \{Ching On\} and Loh, \{Anthony Wai keung\}",

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AU - Lo, Ching On

AU - Loh, Anthony Wai keung

N1 - Publisher Copyright: © Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2025.

PY - 2025/3

Y1 - 2025/3

N2 - We characterize the order boundedness of Stević-Sharma type operators between Bergman spaces induced by doubling weights. We also investigate bounded and compact Stević-Sharma type operators from these weighted Bergman spaces to weighted Banach spaces. Moreover, the norm and essential norm estimates for this class of operators are obtained.

AB - We characterize the order boundedness of Stević-Sharma type operators between Bergman spaces induced by doubling weights. We also investigate bounded and compact Stević-Sharma type operators from these weighted Bergman spaces to weighted Banach spaces. Moreover, the norm and essential norm estimates for this class of operators are obtained.

KW - Bergman space

KW - Doubling weight

KW - Essential norm

KW - Stević-Sharma type operator

KW - Weighted Banach space

UR - https://www.scopus.com/pages/publications/85214272038

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VL - 48

JO - Bulletin of the Malaysian Mathematical Sciences Society

JF - Bulletin of the Malaysian Mathematical Sciences Society

IS - 2

M1 - 34

ER -

Stević-Sharma Type Operators on Bergman Spaces Induced by Doubling Weights

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Keywords

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