Compactness of Hankel Operators with Conjugate Holomorphic Symbols on Complete Reinhardt Domains in ${\mathbb{C}}^2$

Abstract

In this paper we characterize compact Hankel operators with conjugate holomorphic symbols on the Bergman space of bounded convex Reinhardt domains in ${\mathbb{C}}^2$. We also characterize compactness of Hankel operators with conjugate holomorphic symbols on smooth bounded pseudoconvex complete Reinhardt domains in ${\mathbb{C}}^2$.

7 pages. Some minor changes. To appear in New York Journal of Mathematics

References in corpus (1)

• Compactness of Hankel operators with continuous symbols