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arXiv · 2212.04906

Vanishing Carleson measures and power compact weighted composition operators

Aakriti Sharma·Ajay K. Sharma·M. Mursaleen
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Abstract

In this paper, we characterize Carleson measure and vanishing Carleson measure on Bergman spaces with admissible weights in terms of {\it t-Berezin transform} and {\it averaging function} as key tools. Moreover, power bounded and power compact weighted composition operators are characterized as application of Carleson measure and vanishing Carleson measure respectively on Bergman spaces with admissible weights.

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Aakriti Sharma, Ajay K. Sharma, M. Mursaleen. 2022-11-30. Vanishing Carleson measures and power compact weighted composition operators. https://arxiv.org/abs/2212.04906

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