A class of domains with noncompact $\overline {\partial }$-Neumann operator
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- by Debraj Chakrabarti
- Proc. Amer. Math. Soc. 141 (2013), 2351-2359
- DOI: https://doi.org/10.1090/S0002-9939-2013-11504-2
- Published electronically: March 6, 2013
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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.References
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Bibliographic Information
- Debraj Chakrabarti
- Affiliation: TIFR Centre for Applicable Mathematics, Sharadanagara, Chikkabommasandra, Bengaluru-560 065, India
- MR Author ID: 827655
- Email: debraj@math.tifrbng.res.in
- 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
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 2351-2359
- MSC (2010): Primary 32W05
- DOI: https://doi.org/10.1090/S0002-9939-2013-11504-2
- MathSciNet review: 3043016