Weighted Composition Operators between Bers-Type Spaces on Generalized Hua-Cartan-Hartogs Domains

Ziyan Wang; Jianbing Su

doi:10.20944/preprints202407.0393.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 3 July 2024 / Approved: 4 July 2024 / Online: 4 July 2024 (05:57:57 CEST)

We address weighted composition operators between Bers-type spaces on generalized Hua-Cartan-Hartogs domains and provide necessary and sufficient conditions for their boundedness and compactness. We then apply our results to study the boundedness and the compactness of weighted composition operators between Bers-type spaces on five different domains: generalized Hua domains, Cartan-Hartogs domains, generalized Cartan-Hartogs domains, generalized Cartan-Hartogs domains over different Cartan domains and generalized ellipsoidal-type domains.

the Generalized Hua-Cartan-Hartogs domains; Bers-type space; weighted composition operators; boundedness and compactness

Computer Science and Mathematics, Analysis

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Weighted Composition Operators between Bers-Type Spaces on Generalized Hua-Cartan-Hartogs Domains

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