ON THE EXTENSION OF QUASISYMMETRIC MAPS

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ON THE EXTENSION OF QUASISYMMETRIC MAPS. / Alestalo, Pekka; Trotsenko, Dmitry Alexandrovich.

In: ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, Vol. 41, No. 2, 2016, p. 881-896.

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Alestalo, Pekka ; Trotsenko, Dmitry Alexandrovich. / ON THE EXTENSION OF QUASISYMMETRIC MAPS. In: ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA. 2016 ; Vol. 41, No. 2. pp. 881-896.

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@article{ade1d3143a454263916d74db1fc5f124,
title = "ON THE EXTENSION OF QUASISYMMETRIC MAPS",
abstract = "We show that an epsilon-power-quasisymmetric map f: A -> R-n can be extended to a C epsilon-power-quasisymmetric map F: R-n -> R-n if A subset of R-n satisfies a geometric thickness condition and is an element of is small enough. The constant C depends on c and n only.",
keywords = "Power quasisymmetric, extension, sturdy, BILIPSCHITZ, PLANE, SETS",
author = "Pekka Alestalo and Trotsenko, {Dmitry Alexandrovich}",
year = "2016",
doi = "10.5186/aasfm.2016.4154",
language = "English",
volume = "41",
pages = "881--896",
journal = "ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA",
issn = "1239-629X",
number = "2",

}

RIS - Download

TY - JOUR

T1 - ON THE EXTENSION OF QUASISYMMETRIC MAPS

AU - Alestalo, Pekka

AU - Trotsenko, Dmitry Alexandrovich

PY - 2016

Y1 - 2016

N2 - We show that an epsilon-power-quasisymmetric map f: A -> R-n can be extended to a C epsilon-power-quasisymmetric map F: R-n -> R-n if A subset of R-n satisfies a geometric thickness condition and is an element of is small enough. The constant C depends on c and n only.

AB - We show that an epsilon-power-quasisymmetric map f: A -> R-n can be extended to a C epsilon-power-quasisymmetric map F: R-n -> R-n if A subset of R-n satisfies a geometric thickness condition and is an element of is small enough. The constant C depends on c and n only.

KW - Power quasisymmetric

KW - extension

KW - sturdy

KW - BILIPSCHITZ

KW - PLANE

KW - SETS

U2 - 10.5186/aasfm.2016.4154

DO - 10.5186/aasfm.2016.4154

M3 - Article

VL - 41

SP - 881

EP - 896

JO - ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA

T2 - ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA

JF - ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA

SN - 1239-629X

IS - 2

ER -

ID: 6596751