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Seminar on Complex Analysis (Gonchar Seminar)
November 13, 2017 17:00, Moscow, Steklov Mathematical Institute, Room 411 (8 Gubkina)
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Estimates of the minimum of absolute value of an analytic function in terms of the maximum of absolute value on a greater circle
A. Yu. Popov Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract:
The talk will be devoted to a lower estimate of the value of $\max\limits_{qR\leqslant r\leqslant R}m(f,r)$ in terms of value of $M^{-d}(f,aR)$, $a>1$, $d>0$, $q<1$, where $m(f,r)=\min\limits_{|z|=r}|f(z)|$, $M(f,t)=\max\limits_{|z|=t}|f(z)|$.
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