Inner Radius, Polarization, and Circular Truncation of a Set
- Authors: Kuznetsov V.O.1
-
Affiliations:
- State University of Maritime and Inland Shipping, n.a. Admiral Makarov
- Issue: Vol 222, No 5 (2017)
- Pages: 641-644
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/239251
- DOI: https://doi.org/10.1007/s10958-017-3323-6
- ID: 239251
Cite item
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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