A class of domains with noncompact ∂̄-Neumann operator

Debraj Chakrabarti

doi:10.1090/S0002-9939-2013-11504-2

A class of domains with noncompact ∂̄-Neumann operator

Debraj Chakrabarti

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	2351-2359
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	141
Issue number	7
DOIs	https://doi.org/10.1090/S0002-9939-2013-11504-2
State	Published - 2013

Keywords

Hartogs triangle
∂̄-Neumann operator

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10.1090/S0002-9939-2013-11504-2

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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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A class of domains with noncompact ∂̄-Neumann operator

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Keywords

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