Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 32W05

Retrieve articles in all journals with MSC (2010): 32W05


Additional Information

Debraj Chakrabarti
Affiliation: TIFR Centre for Applicable Mathematics, Sharadanagara, Chikkabommasandra, Bengaluru-560 065, India
Email: debraj@math.tifrbng.res.in

DOI: http://dx.doi.org/10.1090/S0002-9939-2013-11504-2
PII: S 0002-9939(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.