Title of article :
HANKEL OPERATORS ON BERGMAN SPACES INDUCED BY REGULAR WEIGHTS
Author/Authors :
Wang, Ermin School of Mathematics and Statistics - Lingnan Normal University - Zhanjiang, China , Xu, Jiajia School of Mathematics and Statistics - Lingnan Normal University - Zhanjiang, China
Abstract :
In this paper, given two regular weights !;Ω, we characterize these symbols f 2 L1
Ω for
which the induced Hankel operators HΩ
f are bounded (or compact) from weighted Bergman space Ap
!
to Lebesgue space Lq
Ω for all 1 < p; q < 1. 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.
Keywords :
boundedness , Hankel operator , regular weights , Bergman spaces
Journal title :
journal of the iranian mathematical society
