Axler-Zheng type theorem on a class of domains in C^n

Abstract

We prove a version of Axler-Zheng's Theorem on smooth bounded pseudoconvex domains in C^n on which the dbar-Neumann operator is compact.

Added Erratum

References in corpus (2)

• Compactness of Hankel operators and analytic discs in the boundary of pseudoconvex domains
• Analytic discs, plurisubharmonic hulls, and non-compactness of the d-bar-Neumann operator

Cited by in corpus (6)

• Convexity of the Berezin Range
• A sufficient condition for $L^p$ regularity of the Berezin transform
• Compactness of Toeplitz operators with continuous symbols on pseudoconvex domains in ${\mathbb{C}}^n$
• Compactness of Hankel and Toeplitz operators on convex Reinhardt domains in ${\mathbb{C}}^2$
• On compactness of products of Toeplitz operators
• On convergence of the Berezin transforms