On the Equivalence of Two Approaches to Problems of Quasiconformal Analysis Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2021, Volume: 62, Number: 6, Pages: 1010-1025 Pages count : 16 DOI: 10.1134/S0037446621060045 | ||
| Tags | 517.518:517.54; capacity estimate; composition operator; modulus of a family of curves; quasiconformal analysis; Sobolev space | ||
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Abstract:
We prove that the two approaches to describing homeomorphismsin modern quasiconformal analysis are equivalent:A homeomorphism changes under controlthe capacity of the image of a condenserin terms of the weighted capacity of a condenser in the preimageif and only ifthe modulus of the image of a family of curvescan be estimatedin terms of the weighted modulus of the original family of curves. © 2021, Pleiades Publishing, Ltd.
Cite:
Vodopyanov S.K.
On the Equivalence of Two Approaches to Problems of Quasiconformal Analysis
Siberian Mathematical Journal. 2021. V.62. N6. P.1010-1025. DOI: 10.1134/S0037446621060045 WOS Scopus OpenAlex
On the Equivalence of Two Approaches to Problems of Quasiconformal Analysis
Siberian Mathematical Journal. 2021. V.62. N6. P.1010-1025. DOI: 10.1134/S0037446621060045 WOS Scopus OpenAlex
Original:
Водопьянов С.К.
Об эквивалентности двух подходов к задачам квазиконформного анализа
Сибирский математический журнал. 2021. Т.62. №6. С.1252-1270. DOI: 10.33048/smzh.2021.62.604 OpenAlex
Об эквивалентности двух подходов к задачам квазиконформного анализа
Сибирский математический журнал. 2021. Т.62. №6. С.1252-1270. DOI: 10.33048/smzh.2021.62.604 OpenAlex
Dates:
| Submitted: | Mar 30, 2021 |
| Accepted: | Aug 11, 2021 |
Identifiers:
| Web of science: | WOS:000723707400004 |
| Scopus: | 2-s2.0-85120164635 |
| OpenAlex: | W3215669113 |