Hankel operators on Bergman spaces of annulus induced by regular weights (Q2042153)

Let \(A^p_{\omega_{1,2}}(M)\), \(1<p<\infty\) denote the Bergman space ``induced by regular-weight \(\omega_{1,2}\) on annulus \(M\)'' (\(M\) is contained in the unit disk). For \(f\in L^1_{\omega_{1,2}}(M)\) the authors define Hankel operator \(H_f\) (induced by \(f\)) as an operator from \(A^p_{\omega_{1,2}}(M)\) to \(L^q_{\omega_{1,2}}(M)\), \(1<p,q<\infty\). The authors give conditions equivalent to boundedness and to compactness of \(H_f\) when \(1<p\leq q<\infty\) and \(1<q< p<\infty\).