QUASI-CONFORMAL MAPPINGS AND GLOBAL INTEGRABILITY OF THE DERIVATIVE

被引:26
作者
ASTALA, K
KOSKELA, P
机构
[1] UNIV HELSINKI,DEPT MATH,SF-00100 HELSINKI 10,FINLAND
[2] UNIV JYVASKYLA,DEPT MATH,SF-40100 JYVASKYLA,FINLAND
来源
JOURNAL D ANALYSE MATHEMATIQUE | 1991年 / 57卷
关键词
D O I
10.1007/BF03041070
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
[No abstract available]
引用
收藏
页码:203 / 220
页数:18
相关论文
共 24 条
[1]  
ASTALA K, 1985, MICH MATH J, V32, P99
[2]   HOLDER CONTINUITY OF CONFORMAL-MAPPINGS AND NON-QUASICONFORMAL JORDAN CURVES [J].
BECKER, J ;
POMMERENKE, C .
COMMENTARII MATHEMATICI HELVETICI, 1982, 57 (02) :221-225
[3]   ANALYTICAL FOUNDATIONS OF THE THEORY OF QUASICONFORMAL MAPPINGS IN RN [J].
BOJARSKI, B ;
IWANIEC, T .
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 1983, 8 (02) :257-324
[4]  
Bojarski B., 1955, DOKL AKAD NAUK SSSR, V102, P661
[5]   INTEGRABILITY OF THE DERIVATIVE IN CONFORMAL MAPPING [J].
BRENNAN, JE .
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1978, 18 (OCT) :261-272
[6]  
Garcia-Cuerva J, 1985, N HOLLAND MATH STUDI, V116
[7]  
Gehring F. W., 1961, T AM MATH SOC, V101, P499
[8]  
Gehring F.W., 1962, T AM MATH SOC, V103, P353
[9]   LIPSCHITZ CLASSES AND QUASI-CONFORMAL MAPPINGS [J].
GEHRING, FW ;
MARTIO, O .
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 1985, 10 (01) :203-219
[10]   LP-INTEGRABILITY OF PARTIAL DERIVATIVES OF A QUASICONFORMAL MAPPING [J].
GEHRING, FW .
ACTA MATHEMATICA, 1973, 130 (3-4) :265-277