Seminars: A. Yu. Popov, Estimates of the minimum of absolute value of an analytic function in terms of the maximum of absolute value on a greater circle

SEMINARS


Seminar on Complex Analysis (Gonchar Seminar) November 13, 2017 17:00, Moscow, Steklov Mathematical Institute, Room 411 (8 Gubkina)

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
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 $m(f,r)=\min\limits_{\|z\|=r}\|f(z)\|$, $M(f,t)=\max\limits_{\|z\|=t}\|f(z)\|$.