Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2023; 60(5): 1201-1219

Online first article September 6, 2023      Printed September 30, 2023

https://doi.org/10.4134/BKMS.b220578

Copyright © The Korean Mathematical Society.

Differences of weighted composition operators on Bergman spaces induced by doubling weights

Jiale Chen

Shaanxi Normal University

Abstract

We characterize the boundedness and compactness of differences of weighted composition operators acting from weighted Bergman spaces $A^p_{\omega}$ to Lebesgue spaces $L^q(d\mu)$ for all $0<p,q<\infty$, where $\omega$ is a radial weight on the unit disk admitting a two-sided doubling condition.

Keywords: Difference of weighted composition operators, Bergman space, doubling weight

MSC numbers: 47B33, 30H20

Supported by: This work was supported by the Fundamental Research Funds for the Central Universities (No. GK202207018) of China.