학술논문
Compactness of Hankel operators with symbols continuous on the closure of pseudoconvex domains
Document Type
Working Paper
Source
Integral Equations Operator Theory 90 (2018), no. 6, Art. 71, 14 pp
Subject
Language
Abstract
Let $\Omega$ be a bounded pseudoconvex domain in $\mathbb{C}^2$ with Lipschitz boundary or a bounded convex domain in $\mathbb{C}^n$ and $\phi\in C(\overline{\Omega})$ such that $H_{\phi}$ is compact on $A^2(\Omega)$. Then $\phi\circ f$ is holomorphic for any holomorphic $f:\mathbb{D}\rightarrow b\Omega$.
Comment: made minor changes. To appear in Integral Equations Operator Theory
Comment: made minor changes. To appear in Integral Equations Operator Theory