학술논문

Compactness of Hankel Operators with Conjugate Holomorphic Symbols on Complete Reinhardt Domains in $\mathbb{C}^2$
Document Type
Working Paper
Source
Subject
Mathematics - Complex Variables
47B35 (Primary), 32W05 (Secondary)
Language
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 $\mathbb{C}^2$.
Comment: 7 pages. Some minor changes. To appear in New York Journal of Mathematics