

Mathematical Colloquium of the Bauman Moscow State Technical University
September 17, 2020 17:30, Moscow, This talk will be organized as Zoom videomeeting






Chui's conjecture in Bergman spaces
K. Yu. Fedorovskiy^{} 
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Abstract:
In the talk it will be presented the solution of the Chui's problem on the simplest fractions (i.e., sums of Cauchy kernels with unit coefficients) in weighted (Hilbert) Bergman spaces. Namely, for a wide class of weights, it will be shown that for every $N$, the simplest fractions with $N$ poles on the unit circle have minimal norm if and only if the poles are equispaced on the circle. We present sharp asymptotics of these norms. Finally, we describe the closure of the simplest fractions in weighted Bergman spaces. The talk is based on the joint work by E. Abakumov, A. Borichev, and K. Fedorovskiy (see https://arxiv.org/abs/2009.01898).
Zoomconference identificator: 871 0172 4304; Password: 076523
Website:
https://us02web.zoom.us/j/87101724304?pwd=TTBYaXZFZEM1V2pRanBaa3RsSEJ2UT09

