Hankel operators on Bergman spaces induced by regular weights

Document Type : Research Article

Authors

School of Mathematics and Statistics, Lingnan Normal University, P.O. Box 524048, Zhanjiang, China.

Abstract

‎In this paper‎, ‎given two regular weights $\omega‎, ‎\Omega$‎, ‎we characterize these symbols $f\in L^1_\Omega$ for which the induced Hankel operators $H_f^\Omega$ are bounded (or compact) from weighted Bergman space $A_\omega^p$ to Lebesgue space $L^q_\Omega$ for all $1<p‎, ‎q<\infty$‎. ‎Moreover‎, ‎we answer a question posed by X‎. ‎Lv and K‎. ‎Zhu [Integr‎. ‎Equ‎. ‎Oper‎. ‎Theory‎, ‎91(2019)‎, ‎91:5] in the case $n=1$‎.

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