THE BOUNDARY DISTORTION OF A QUASI-CONFORMAL MAPPING

被引：8

|

作者：

HEINONEN, JH ^{[1
]}

KOSKELA, P ^{[1
]}

机构：

[1] UNIV JYVASKYLA,SF-40100 JYVASKYLA,FINLAND

来源：

PACIFIC JOURNAL OF MATHEMATICS | 1994年 / 165卷 / 01期

关键词：

D O I：

10.2140/pjm.1994.165.93

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate how quasiconformal mappings f: B(n) --> R(n) distort Hausdorff measures of sets on the boundary partial derivative B(n).

引用

收藏

页码：93 / 114

页数：22

相关论文

共 50 条

[1] THE BOUNDARY BEHAVIOR OF A QUASI-CONFORMAL MAPPING
LOHWATER, AJ
JOURNAL OF RATIONAL MECHANICS AND ANALYSIS, 1956, 5 (02): : 335 - 342
[2] A DISTORTION THEOREM FOR QUASI-CONFORMAL MAPPINGS
ZINSMEISTER, M
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1986, 114 (01): : 123 - 133
[3] AREA DISTORTION OF QUASI-CONFORMAL MAPPINGS
ASTALA, K
ACTA MATHEMATICA, 1994, 173 (01) : 37 - 60
[4] ON THE AREA DISTORTION BY QUASI-CONFORMAL MAPPINGS
EREMENKO, A
HAMILTON, DH
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (09) : 2793 - 2797
[5] A PROPERTY OF QUASI-CONFORMAL MAPPING
ROYDEN, HL
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1954, 5 (02) : 266 - 269
[6] DISTORTION OF AREA IN QUASI-CONFORMAL MAPPINGS
VOLYNETS, IA
DOKLADY AKADEMII NAUK SSSR, 1972, 204 (05): : 1034 - &
[7] QUASI-CONFORMAL MAPPING OF A SPHERE ON ITSELF
SYCHEV, AV
DOKLADY AKADEMII NAUK SSSR, 1972, 206 (03): : 556 - &
[8] THE DEGREE OF REGULARITY OF A QUASI-CONFORMAL MAPPING
KOSKELA, P
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 122 (03) : 769 - 772
[9] HARMONIC MAPPING AND QUASI-CONFORMAL MAPPINGS
REICH, E
JOURNAL D ANALYSE MATHEMATIQUE, 1986, 46 : 239 - 245
[10] DILATATION OF AN EXTREMAL QUASI-CONFORMAL MAPPING
HARRINGTON, A
ORTEL, M
DUKE MATHEMATICAL JOURNAL, 1976, 43 (03) : 533 - 544

← 1 2 3 4 5 →