Inner Radius, Polarization, and Circular Truncation of a Set


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Abstract

The paper considers the difference between the reduced module m(B, 0) of an open set B, 0 ∈ B, and the reduced module m(Br, 0) of its circular truncation Br, where Br = B ∩ {|z| < r}. It is proved that this difference does not decrease under polarization and circular symmetrization. Bibliography: 6 titles.

About the authors

V. O. Kuznetsov

State University of Maritime and Inland Shipping, n.a. Admiral Makarov

Author for correspondence.
Email: kvo.kuz@mail.ru
Russian Federation, St.Petersburg

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