Compactness of the ∂-Neumann Problem on Convex Domains

Siqi Fu; Emil J. Straube

doi:10.1006/jfan.1998.3317

Compactness of the ∂-Neumann Problem on Convex Domains

Siqi Fu, Emil J. Straube

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

76 Scopus citations

Abstract

The ∂-Neumann operator on (0,q)-forms (1≤q≤n) on a bounded convex domainΩin Cⁿis compact if and only if the boundary ofΩcontains no complex analytic (equivalently: affine) variety of dimension greater than or equal toq.

Original language	English (US)
Pages (from-to)	629-641
Number of pages	13
Journal	Journal of Functional Analysis
Volume	159
Issue number	2
DOIs	https://doi.org/10.1006/jfan.1998.3317
State	Published - Nov 10 1998
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis

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title = "Compactness of the ∂-Neumann Problem on Convex Domains",

abstract = "The ∂-Neumann operator on (0,q)-forms (1≤q≤n) on a bounded convex domainΩin Cnis compact if and only if the boundary ofΩcontains no complex analytic (equivalently: affine) variety of dimension greater than or equal toq.",

author = "Siqi Fu and Straube, {Emil J.}",

note = "Funding Information: The authors thank Harold Boas for stimulating conversations. Research supported in part by NSF grant DMS-9500916.",

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AU - Straube, Emil J.

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Compactness of the ∂-Neumann Problem on Convex Domains

Abstract

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