Bergman spaces on finitely connected domains

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Sönmez, Sinem Yelda (2022) Bergman spaces on finitely connected domains. [Thesis]

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Abstract

In this thesis study, the weighted Bergman spaces on finitely connected planar domains are investigated. They are isomorphic to the product of weighted Bergman spaces on the unit disk. Using this argument, the Carleson embeddings are characterized and kernel estimates are proved. Bounded, compact and Schatten class composition and Toeplitz operators on these spaces are characterized. Main results generalize several recent ones in the unit disk or simply connected case.
Item Type: Thesis
Uncontrolled Keywords: Bergman spaces. -- Carleson measures. -- kernel estimate. -- Toeplitz operator. -- composition operator. -- Bergman uzayları. -- Carleson ölçüleri. -- çekirdek tahminleri. -- Toeplit operatör. -- bileşke operatör.
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: Dila Günay
Date Deposited: 11 Jul 2023 16:04
Last Modified: 11 Jul 2023 16:04
URI: https://research.sabanciuniv.edu/id/eprint/47479

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