Difference of composition operators on Korenblum spaces over tube domain

The Korenblum space, often referred to as a growth space, is a special type of analytic function space. This paper investigates the properties of the difference of composition operators on the Korenblum space over the product of upper half planes, characterizing their boundedness and compactness. Us...

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Bibliographic Details
Published in:arXiv.org 2024-11
Main Authors: Liang, Yuheng, Li, Lvchang, Li, Haichou
Format: Article
Language:English
Subjects:
Analytic functions
Composition
Function space
Half planes
Operators
Online Access:Get full text
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Summary:The Korenblum space, often referred to as a growth space, is a special type of analytic function space. This paper investigates the properties of the difference of composition operators on the Korenblum space over the product of upper half planes, characterizing their boundedness and compactness. Using the result on boundedness, we show that all bounded differences of composition operators are absolutely summable operators.
ISSN:2331-8422