Rigidity theorem of the Bergman kernel and the analytic capacity
John Treuer (UC Irvine)
08-Feb-2021, 22:00-23:00 (3 years ago)
Abstract: The Bergman kernel function of a domain D in the complex plane is the reproducing integral kernel for the Hilbert space of square integrable holomorphic functions on D. It is easily shown that the (on-diagonal) Bergman kernel is bounded below by the reciprocal of the volume of the domain D. In this talk, I geometrically characterize the domains whose Bergman kernels achieve the lower bound.
analysis of PDEsclassical analysis and ODEsfunctional analysis
Audience: researchers in the topic
OARS Online Analysis Research Seminar
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Organizers: | Rachel Greenfeld*, Zane Li*, Joris Roos*, Ziming Shi |
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