Basics of the Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings

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Basics of the Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings. / Vodopyanov, S. K.

In: Siberian Mathematical Journal, Vol. 59, No. 5, 01.09.2018, p. 805-834.

Research output: Contribution to journal › Article › peer-review

Harvard

Vodopyanov, SK 2018, 'Basics of the Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings', Siberian Mathematical Journal, vol. 59, no. 5, pp. 805-834. https://doi.org/10.1134/S0037446618050075

APA

Vodopyanov, S. K. (2018). Basics of the Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings. Siberian Mathematical Journal, 59(5), 805-834. https://doi.org/10.1134/S0037446618050075

Vancouver

Vodopyanov SK. Basics of the Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings. Siberian Mathematical Journal. 2018 Sept 1;59(5):805-834. doi: 10.1134/S0037446618050075

Author

Vodopyanov, S. K. / Basics of the Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings. In: Siberian Mathematical Journal. 2018 ; Vol. 59, No. 5. pp. 805-834.

BibTeX

@article{9c4163f46b014efeb8530922ed772f98,

title = "Basics of the Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings",

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.",

keywords = "capacity estimate, quasiconformal analysis, Sobolev space, theorem on removable singularities",

author = "Vodopyanov, {S. K.}",

note = "Publisher Copyright: {\textcopyright} 2018, Pleiades Publishing, Ltd.",

year = "2018",

month = sep,

day = "1",

doi = "10.1134/S0037446618050075",

language = "English",

volume = "59",

pages = "805--834",

journal = "Siberian Mathematical Journal",

issn = "0037-4466",

publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",

number = "5",

}

RIS

TY - JOUR

T1 - Basics of the Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings

AU - Vodopyanov, S. K.

PY - 2018/9/1

Y1 - 2018/9/1

N2 - 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.

AB - 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.

KW - capacity estimate

KW - quasiconformal analysis

KW - Sobolev space

KW - theorem on removable singularities

UR - http://www.scopus.com/inward/record.url?scp=85057505463&partnerID=8YFLogxK

U2 - 10.1134/S0037446618050075

DO - 10.1134/S0037446618050075

M3 - Article

VL - 59

SP - 805

EP - 834

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 5

ER -

ID: 17670761