Analysis on the worm domain

speaker: Steven George Krantz (Washington University in St. Louis)

abstract: In joint work with Marco Peloso, we study the Bergman kernel on a version of the DiederichFornaess worm domain. We are able to obtain an asymptotic expansion for the kernel, and to study its mapping properties. We can recover versions of recent irregularity results of M. Christ and E. Ligocka.

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