Characterizations of certain classes of Hankel operators on the Bergman spaces of the unit disk (Q1207133)

The integrable functions on the unit disk \(f\) for which the Hankel operator \(H_ f(g)=fg-P(fg)\) may be extended to a bounded operator from the Bergman space \(A^ p\) to \(L^ p\) are characterized, for \(1<p<\infty\). Also characterized are those functions \(f\) for which \(H_ f\) extends to a compact or Schatten class operator on \(A^ 2\).