Free distance ratio mappings in Banach spaces

TY - JOUR

T1 - Free distance ratio mappings in Banach spaces

AU - Zhou, Qingshan

AU - Rasila, Antti

AU - Li, Yaxiang

N1 - Publisher Copyright: © 2019, Springer-Verlag GmbH Austria, part of Springer Nature.

PY - 2020/4/1

Y1 - 2020/4/1

N2 - In this paper, we introduce a class of mappings related to the distance ratio metric and study its connection to the freely quasiconformal mapping in Banach spaces. Moreover, we investigate the invariance of Gromov hyperbolic, natural and uniform domains under this class of mappings.

AB - In this paper, we introduce a class of mappings related to the distance ratio metric and study its connection to the freely quasiconformal mapping in Banach spaces. Moreover, we investigate the invariance of Gromov hyperbolic, natural and uniform domains under this class of mappings.

KW - Distance ratio metric

KW - Free distance ratio mapping

KW - Free quasiconformal mapping

KW - Quasihyperbolic metric

KW - Uniform domains

UR - http://www.scopus.com/inward/record.url?scp=85074200685&partnerID=8YFLogxK

U2 - 10.1007/s00605-019-01337-y

DO - 10.1007/s00605-019-01337-y

M3 - 文章

AN - SCOPUS:85074200685

SN - 0026-9255

VL - 191

SP - 843

EP - 856

JO - Monatshefte fur Mathematik

JF - Monatshefte fur Mathematik

IS - 4

ER -