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| arXiv:0706.3708 |
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Title: The Bergman kernel and projection on non-smooth worm domains
Authors: Steven G. Krantz, Marco M. Peloso
Categories: math.CV Complex Variables (math.AP Analysis of PDEs)
Report number: AIM 2007-29
MSC: 32A25, 32A36
Abstract: This paper provides a precise asymptotic expansion for the Bergman kernel on
the non-smooth worm domains of Christer Kiselman in complex 2-space.
Applications are given to the failure of Condition R, to deviant boundary
behavior of the kernel, and to L^p mapping properties of the kernel.
Owner: Steven G. Krantz
Version 1: Mon, 25 Jun 2007 20:32:52 GMT
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