On the Convergence of Mappings with k-Finite Distortion Full article
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Mathematical Notes
ISSN: 0001-4346 , E-ISSN: 1573-8876 |
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| Output data | Year: 2017, Volume: 102, Number: 6, Pages: 943-948 Pages count : 6 DOI: 10.1134/S0001434617110281 | ||||||
| Tags | mapping with k-finite distortion, distortion coefficient, passage to the limit, differential form | ||||||
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Abstract:
As is known, the limit of a uniformly convergent sequence of analytic
functions will be an analytic function. Reshetnyak has generalized this result to the class of mappings with bounded distortion: the limit of a locally uniformly convergent sequence of mappings with bounded distortion is a mapping with bounded distortion.
In this paper, we extend these assertions to classes of mappings with 𝑘-finite distortion that naturally arise in the problem of transferring differential
degree forms 𝑘
Cite:
Vodopyanov S.K.
, Kudryavtceva N.A.
On the Convergence of Mappings with k-Finite Distortion
Mathematical Notes. 2017. V.102. N6. P.943-948. DOI: 10.1134/S0001434617110281 WOS Scopus OpenAlex
On the Convergence of Mappings with k-Finite Distortion
Mathematical Notes. 2017. V.102. N6. P.943-948. DOI: 10.1134/S0001434617110281 WOS Scopus OpenAlex
Original:
Водопьянов С.К.
, Кудрявцева Н.А.
О сходимости отображений с k-конечным искажением
Математические заметки. 2017. Т.102. №6. С.943-948. DOI: 10.4213/mzm11688 OpenAlex
О сходимости отображений с k-конечным искажением
Математические заметки. 2017. Т.102. №6. С.943-948. DOI: 10.4213/mzm11688 OpenAlex
Dates:
| Submitted: | May 21, 2017 |
Identifiers:
| Web of science: | WOS:000418838500028 |
| Scopus: | 2-s2.0-85039427279 |
| OpenAlex: | W2779691822 |