Weighted Sobolev and Poincare inequalities and quasiregular mappings of polynomial type

被引:37
作者
Heinonen, J [1 ]
Koskela, P [1 ]
机构
[1] UNIV MICHIGAN,DEPT MATH,ANN ARBOR,MI 48109
关键词
D O I
10.7146/math.scand.a-12564
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:251 / 271
页数:21
相关论文
共 26 条
[11]   KOENIGS FUNCTIONS, QUASICIRCLES AND BMO [J].
HEINONEN, J ;
ROHDE, S .
DUKE MATHEMATICAL JOURNAL, 1995, 78 (02) :301-313
[12]  
HEINONEN J, 1993, NONLINEAR POTENTIAL
[13]   HARDY-LITTLEWOOD INEQUALITY FOR QUASI-REGULAR-MAPPINGS IN CERTAIN DOMAINS IN RN [J].
IWANIEC, T ;
NOLDER, CA .
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 1985, 10 (01) :267-282
[14]   ELLIPTIC-EQUATIONS AND MAPS OF BOUNDED LENGTH DISTORTION [J].
MARTIO, O ;
VAISALA, J .
MATHEMATISCHE ANNALEN, 1988, 282 (03) :423-443
[15]  
Martio O., 1970, ANN ACAD SCI FENN A1, V474
[16]   WEIGHTED SOBOLEV INEQUALITIES ASSOCIATED WITH QUASI-REGULAR MAPPINGS [J].
MOSCARIELLO, G .
NONLINEARITY, 1993, 6 (01) :49-55
[17]   WEIGHTED SOBOLEV INEQUALITIES AND HARMONIC MEASURE ASSOCIATED WITH QUASI-REGULAR FUNCTIONS [J].
OKSENDAL, B .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1990, 15 (10) :1447-1459
[18]   DIRICHLET FORMS, QUASIREGULAR FUNCTIONS AND BROWNIAN-MOTION [J].
OKSENDAL, B .
INVENTIONES MATHEMATICAE, 1988, 91 (02) :273-297
[19]  
Rickman S., 1993, QUASIREGULAR MAPPING
[20]  
SEMMES S, 1993, ANN ACAD SCI FENN-M, V18, P211