A class of domains with noncompact -Neumann operator

Author:
Debraj Chakrabarti

Journal:
Proc. Amer. Math. Soc. **141** (2013), 2351-2359

MSC (2010):
Primary 32W05

Published electronically:
March 6, 2013

MathSciNet review:
3043016

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Abstract | References | Similar Articles | Additional Information

Abstract: The -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.

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Additional Information

**Debraj Chakrabarti**

Affiliation:
TIFR Centre for Applicable Mathematics, Sharadanagara, Chikkabommasandra, Bengaluru-560 065, India

Email:
debraj@math.tifrbng.res.in

DOI:
https://doi.org/10.1090/S0002-9939-2013-11504-2

Keywords:
$\overline{\partial}$-Neumann operator,
Hartogs triangle

Received by editor(s):
July 13, 2011

Received by editor(s) in revised form:
October 13, 2011

Published electronically:
March 6, 2013

Communicated by:
Franc Forstneric

Article copyright:
© Copyright 2013
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.