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A class of domains with noncompact $ \overline{\partial}$-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: The $ \overline {\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.

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Additional Information

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

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.

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