Estimates of generalized internal radii for polycylindrical domains-Reference-Cited by-同舟云学术

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Estimates of generalized internal radii for polycylindrical domains

Published:2022-01-28 Issue:1 Volume:19 Page:121-134
ISSN:1810-3200
Container-title:Ukrainian Mathematical Bulletin
language:uk
Short-container-title:UMB

Author:

Targonskii Andrey¹

Affiliation:

1. I. Franko Zhytomyr State University, Zhytomyr, Ukraine

Abstract

The upper estimate for the functional composed of the product of the inner radii of domains has been considered for spaces with a dimension larger than 2.

Publisher

Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine

Reference30 articles.

1. Lavrent’ev, M.A. (1934). On the theory of conformal mappings. Tr. Fiz.-Mat. Inst. Akad. Nauk SSSR, 5, 159–245.

2. Goluzin, G.M. (1966). Geometric theory of functions of a complex variable. Nauka, Moscow (in Russian).

3. Bakhtina, G.P. (1975). Variational methods and quadratic differentials in problems for disjoint domains. PhD thesis, Kiev (in Russian).

4. Bakhtin, A.K., Bakhtina, G.P., & Zelinskii, Yu.B. (2008). Topological-algebraic structures and geometric methods in complex analysis. Inst. Math. NAS Ukraine, Kiev (in Russian).

5. Dubinin, V.N. (1988). Separating transformation of domains and problems of extremal division. Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Ros. Akad. Nauk, 168, 48–66.

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