A Class of Domains with noncompact $\bar{\partial}$-Neumann operator

Debraj Chakrabarti

A Class of Domains with noncompact $\bar{\partial}$-Neumann operator

Complex Variables 2011-10-14 v4

Authors: Debraj Chakrabarti

Abstract

The $\bar{\partial}$ -Neumann operator (the inverse of the complex Laplacian) is shown to be noncompact on certain domains in complex Euclidean space. These domains are either higher-dimensional analogs of the Hartogs triangle, or have such a generalized Hartogs triangle imbedded appropriately in them.

Keywords

noncompact $\bar{\partial}$-Neumann operator complex Laplacian Hartogs triangle complex Euclidean space higher-dimensional analogs

Cite

@article{arxiv.1106.5167,
  title  = {A Class of Domains with noncompact $\bar{\partial}$-Neumann operator},
  author = {Debraj Chakrabarti},
  journal= {arXiv preprint arXiv:1106.5167},
  year   = {2011}
}

Comments

Added the reference [8], minor literary improvements

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