The Bergman kernel and projection on non-smooth worm domains

Details The Bergman kernel and projection on non-smooth worm domains The Bergman kernel and projection on non-smooth worm domains

2007-06-25

arxiv.org/abs/0706.3708v1

Mathematics

Complex Variables

Scientific paper

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.

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