The Bergman kernel and projection on non-smooth worm domains
classification
🧮 math.CV
math.AP
keywords
kernelbergmandomainsnon-smoothwormapplicationsasymptoticbehavior
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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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