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This article is cited in 21 scientific papers (total in 21 papers)
Research Papers
On local and boundary behaviour of mappings in metric spaces
E. A. Sevostyanov Zhytomyr Ivan Franko State University, Zhytomyr, Ukraine
Abstract:
The paper is devoted to maps of metric spaces whose quasiconformal characteristic satisfies certain restrictions of integral nature. In particular, theorems on equicontinuity of a family of homeomorphisms are obtained, as well as some results of their extendibility to isolated points of the boundary of a domain. Under some additional topological assumptions, similar statements hold for more general open discrete maps.
Keywords:
Moduli of families of curves and surfaces, maps with bounded and finite distortion, boundary behavior of mappings, metric spaces.
Received: 05.03.2016
Citation:
E. A. Sevostyanov, “On local and boundary behaviour of mappings in metric spaces”, Algebra i Analiz, 28:6 (2016), 118–146; St. Petersburg Math. J., 28:6 (2017), 807–824
Linking options:
https://www.mathnet.ru/eng/aa1516 https://www.mathnet.ru/eng/aa/v28/i6/p118
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Abstract page: | 402 | Full-text PDF : | 44 | References: | 50 | First page: | 7 |
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