Sums of two generalized weighted composition operators between Bergman spaces

Juntao Du; Zuoling Liu

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arXiv · 2509.01094

Sums of two generalized weighted composition operators between Bergman spaces

Juntao Du·Zuoling Liu

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Abstract

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.

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Juntao Du, Zuoling Liu. 2025-09-01. Sums of two generalized weighted composition operators between Bergman spaces. https://arxiv.org/abs/2509.01094

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