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A counterexample to the existence of peaking functions

Author(s): Jiye Yu
Journal: Proc. Amer. Math. Soc. 125 (1997), 2385-2390.
MSC (1991): Primary 32F15, 32F25
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Abstract: We construct a smoothly bounded pseudoconvex domain whose boundary contains no complex analytic variety such that some boundary point admits no holomorphic peak function.

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Additional Information:

Jiye Yu
Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843
Address at time of publication: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
Email: jyu@math.tamu.edu, yu@math.wisc.edu

DOI: 10.1090/S0002-9939-97-03936-1
PII: S 0002-9939(97)03936-1
Keywords: Peak point, local peak point, peak function, pseudoconvex domain, B-regular domain, Jensen measure, representing measure
Received by editor(s): February 29, 1996
Additional Notes: Supported in part by NSF grant number DMS-9500916.
Communicated by: Eric Bedford
Copyright of article: Copyright 1997, American Mathematical Society

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