On the Geometric Definition of Quasiconformality 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: 5, Pages: 782-795 Pages count : 14 DOI: 10.1134/S0037446621050025 | ||
| Tags | 517.54; bounded turning; graph convergence; modulus of a family of curves; oriented square; quasicircle; quasiconformal mapping | ||
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Abstract:
Considering a homeomorphism of the plane onto itself, we prove thatthe criterion of quasiconformality is the presence ofan upper bound for the modulus of the family of curvesjoining the images of the opposite sides ofan arbitrary oriented square with the sides parallel to the coordinate axes. © 2021, Pleiades Publishing, Ltd.
Cite:
Aseev V.V.
On the Geometric Definition of Quasiconformality
Siberian Mathematical Journal. 2021. V.62. N5. P.782-795. DOI: 10.1134/S0037446621050025 WOS Scopus OpenAlex
On the Geometric Definition of Quasiconformality
Siberian Mathematical Journal. 2021. V.62. N5. P.782-795. DOI: 10.1134/S0037446621050025 WOS Scopus OpenAlex
Identifiers:
| Web of science: | WOS:000698762500002 |
| Scopus: | 2-s2.0-85115645094 |
| OpenAlex: | W3204569888 |