Hankel Operators on Bergman Spaces of Annulus Induced by Regular Weights

Abstract

This paper is devoted to studying Bergman spaces $$A_{\omega_{1,2}}^{p}(M)(1<p<\infty)$$ induced by regular-weight ω1,2 on annulus M. We characterize the function f in $$L_{\omega_{1,2}}^{1}(M)$$ for which the induced Hankel operator Hf is bounded (or compact) from $$A_{\omega_{1,2}}^{p}(M)$$ to $$L_{\omega_{1,2}}^{1}(M)$$ with 1 < p, q < ∞.