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Compactness of the $ \overline\partial$-Neumann operator

Author: Steven G. Krantz
Journal: Proc. Amer. Math. Soc. 103 (1988), 1136-1138
MSC: Primary 32F20; Secondary 32A07, 35N15
MathSciNet review: 954995
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Abstract: This paper gives an elementary construction of smooth, bounded pseudoconvex domains which satisfy Condition $ R$ but which do not have compact $ \bar \partial $-Neumann operator.

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

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  • [BB] S. Bell and H. Boas, Regularities of the Bergman projection in weakly pseudoconvex domains, Math. Ann. 257 (1981), 23-30. MR 630644 (83b:32021)
  • [HPB] H. P. Boas, Small sets of infinite type are benign for the $ \bar \partial $-Neumann problem, preprint.
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Keywords: Cauchy-Riemann equations, Neumann operator, pseudoconvex domain
Article copyright: © Copyright 1988 American Mathematical Society

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