RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2016 Volume 445, Pages 175–180 (Mi znsl6277)

Inner radius, polarization and circular truncation of the set

V. O. Kuznetsov

Admiral Makarov State University of Maritime and Inland Shipping, St. Petersburg, Russia

Abstract: The difference of the reduced module $m(B,0)$ of an open set $B$, $0\in B$, and the reduced module $m(B_r,0)$ of its circular truncation $B_r$, where $B_r=B\cap\{|z|<r\}$, is considered. It is proved that in the case of polarization and circular symmetrization this difference does not decrease.

Key words and phrases: reduced module, polarization, symmetrization, Green's function.

UDC: 517.54

Received: 12.03.2016


 English version:
Journal of Mathematical Sciences (New York), 2017, 222:5, 641–644

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025