BASICS OF THE QUASICONFORMAL ANALYSIS OF A TWO-INDEX SCALE OF SPATIAL MAPPINGS Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2018, Volume: 59, Number: 5, Pages: 805–834, Pages count : 30 DOI: 10.1134/S0037446618050075 | ||||||
| Tags | quasiconformal analysis, Sobolev space, capacity estimate, theorem on removable singularities | ||||||
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Abstract:
We define a scale of mappings that depends on two real parameters p and q, n−1 ≤ q ≤ p <∞
and a weight function θ. In the case of q = p = n, θ ≡ 1, we obtain the well known mappings with
bounded distortion. Mappings of a two-index scale inherit many properties of mappings with bounded
distortion. They are used for solving a few problems of global analysis and applied problems.
Cite:
Vodopyanov S.K.
BASICS OF THE QUASICONFORMAL ANALYSIS OF A TWO-INDEX SCALE OF SPATIAL MAPPINGS
Siberian Mathematical Journal. 2018. V.59. N5. P.805–834,. DOI: 10.1134/S0037446618050075 WOS Scopus OpenAlex
BASICS OF THE QUASICONFORMAL ANALYSIS OF A TWO-INDEX SCALE OF SPATIAL MAPPINGS
Siberian Mathematical Journal. 2018. V.59. N5. P.805–834,. DOI: 10.1134/S0037446618050075 WOS Scopus OpenAlex
Original:
Водопьянов С.К.
Основы квазиконформного анализа двухиндексной шкалы пространственных отображений
Сибирский математический журнал. 2018. Т.59. №5. С.1020-1056. DOI: 10.17377/smzh.2018.59.507
Основы квазиконформного анализа двухиндексной шкалы пространственных отображений
Сибирский математический журнал. 2018. Т.59. №5. С.1020-1056. DOI: 10.17377/smzh.2018.59.507
Dates:
| Submitted: | Jun 28, 2018 |
Identifiers:
| Web of science: | WOS:000452230400007 |
| Scopus: | 2-s2.0-85057505463 |
| OpenAlex: | W2901277639 |