Vanishing Carleson measures and power compact weighted composition operators

2022/11/30 by Sharma, Aakriti, Sharma, Ajay K., Mursaleen, M.
#46B50 #46E10 #47B33 #47B38 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2212.04906

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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