Sums of two generalized weighted composition operators between Bergman spaces

Fuente: arXiv
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Main Authors: Du, Juntao, Liu, Zuoling
Format: Preprint
Published: 2025
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author Du, Juntao
Liu, Zuoling
author_facet Du, Juntao
Liu, Zuoling
contents Based on a judicious partitioning of the preimage of the pseudohyperbolic disk under the composition symbols, in this article, we show that the boundedness and compactness of the sum of two generalized weighted composition operators with different symbols and orders between Bergman spaces are properly determined by each of individual summands.
format Preprint
id arxiv_https___arxiv_org_abs_2509_01094
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Sums of two generalized weighted composition operators between Bergman spaces
Du, Juntao
Liu, Zuoling
Complex Variables
Based on a judicious partitioning of the preimage of the pseudohyperbolic disk under the composition symbols, in this article, we show that the boundedness and compactness of the sum of two generalized weighted composition operators with different symbols and orders between Bergman spaces are properly determined by each of individual summands.
title Sums of two generalized weighted composition operators between Bergman spaces
topic Complex Variables
url https://arxiv.org/abs/2509.01094