John disks are local bilipschitz images of quasidisks

被引:2
作者
Broch, Ole Jacob [1 ]
机构
[1] SINTEF Fisheries & Aquaculture, NO-7465 Trondheim, Norway
关键词
John disk; John domain; internal distances; bilipschitz map; quasidisk;
D O I
10.32917/hmj/1220619456
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
It is proved that all bounded John disks are local bilipschitz images of quasidisks. This makes it easy to prove many necessary conditions for John disks.
引用
收藏
页码:193 / 201
页数:9
相关论文
共 19 条
[1]  
Bonk M, 2001, J REINE ANGEW MATH, V541, P117
[2]   Conformal metrics on the unit ball in euclidean space [J].
Bonk, M ;
Koskela, P ;
Rohde, S .
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1998, 77 :635-664
[3]  
Broch OJ, 2006, ANN ACAD SCI FENN-M, V31, P13
[4]  
Gehring F. W., 2000, CONT MATH, V256, P143
[5]   Hyperbolic geometry and disks [J].
Gehring, FW ;
Hag, K .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1999, 105 (1-2) :275-284
[6]   QUASIHYPERBOLIC GEODESICS IN JOHN DOMAINS [J].
GEHRING, FW ;
HAG, K ;
MARTIO, O .
MATHEMATICA SCANDINAVICA, 1989, 65 (01) :75-92
[7]   UNIFORM DOMAINS AND THE QUASI-HYPERBOLIC METRIC [J].
GEHRING, FW ;
OSGOOD, BG .
JOURNAL D ANALYSE MATHEMATIQUE, 1979, 36 :50-74
[8]   INJECTIVITY OF LOCAL QUASI-ISOMETRIES [J].
GEHRING, FW .
COMMENTARII MATHEMATICI HELVETICI, 1982, 57 (02) :202-220
[9]   JOHN DISKS AND EXTENSION OF MAPS [J].
GHAMSARI, M ;
NAKKI, R ;
VAISALA, J .
MONATSHEFTE FUR MATHEMATIK, 1994, 117 (1-2) :63-94
[10]  
Kim Kiwon, 2006, [Bulletin of the KMS, 대한수학회보], V43, P395