Essential norm estimates for the $\bar{\partial }$-Neumann operator on convex domains and worm domains

Abstract

In the paper we give a lower estimate for the essential norm of the $\bar{\partial }$-Neumann operator on convex domains and worm domains of Diederich and Fornaess.

fixed a mistake in Lemma 2, updated one corollary, and removed another one. To appear in Indiana Univ. Math. J

References in corpus (1)

• The Bergman kernel and projection on non-smooth worm domains

Cited by in corpus (6)

• Sharp estimates for the Szegő projection on the distinguished boundary of model worm domains
• Compactness of Toeplitz operators with continuous symbols on pseudoconvex domains in ${\mathbb{C}}^n$
• Irregularity of the Bergman projection on smooth unbounded worm domains
• The restriction operator on Bergman spaces
• On a higher-dimensional worm domain and its geometric properties
• On spectra of Hankel operators on the polydisc