English

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

Complex Variables 2021-03-08 v4 Functional Analysis

Abstract

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

Keywords

Cite

@article{arxiv.1509.02606,
  title  = {Essential norm estimates for the $\bar{\partial}$-Neumann operator on convex domains and worm domains},
  author = {Zeljko Cuckovic and Sonmez Sahutoglu},
  journal= {arXiv preprint arXiv:1509.02606},
  year   = {2021}
}

Comments

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