AREA INTEGRAL ESTIMATES FOR ELLIPTIC DIFFERENTIAL-OPERATORS WITH NON-SMOOTH COEFFICIENTS

被引:74
作者
DAHLBERG, BEJ
JERISON, DS
KENIG, CE
机构
[1] MIT,CAMBRIDGE,MA 02139
[2] UNIV MINNESOTA,MINNEAPOLIS,MN 55455
来源
ARKIV FOR MATEMATIK | 1984年 / 22卷 / 01期
关键词
D O I
10.1007/BF02384374
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:97 / 108
页数:12
相关论文
共 13 条
[1]   DISTRIBUTION FUNCTION INEQUALITIES FOR AREA INTEGRAL [J].
BURKHOLDER, DL ;
GUNDY, RF .
STUDIA MATHEMATICA, 1972, 44 (06) :527-544
[2]   BOUNDARY-BEHAVIOR OF NONNEGATIVE SOLUTIONS OF ELLIPTIC-OPERATORS IN DIVERGENCE FORM [J].
CAFFARELLI, L ;
FABES, E ;
MORTOLA, S ;
SALSA, S .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1981, 30 (04) :621-640
[3]   COMPLETELY SINGULAR ELLIPTIC-HARMONIC MEASURES [J].
CAFFARELLI, LA ;
FABES, EB ;
KENIG, CE .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1981, 30 (06) :917-924
[4]  
COIFMAN RR, 1974, STUD MATH, V51, P241
[5]   WEIGHTED NORM INEQUALITIES FOR THE LUSIN AREA INTEGRAL AND THE NONTANGENTIAL MAXIMAL FUNCTIONS FOR FUNCTIONS HARMONIC IN A LIPSCHITZ DOMAIN [J].
DAHLBERG, BEJ .
STUDIA MATHEMATICA, 1980, 67 (03) :297-314
[6]  
Fabes E.B., 1983, WADSWORTH MATHSER, VI, P577
[7]   THE LOCAL REGULARITY OF SOLUTIONS OF DEGENERATE ELLIPTIC-EQUATIONS [J].
FABES, EB ;
KENIG, CE ;
SERAPIONI, RP .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1982, 7 (01) :77-116
[8]  
Fefferman C, 1972, ACTA MATH-DJURSHOLM, V129, P137, DOI 10.1007/BF02392215
[9]  
GUNDY RF, 1974, STUD MATH, V49, P107
[10]   BOUNDARY-BEHAVIOR OF HARMONIC-FUNCTIONS IN NON-TANGENTIALLY ACCESSIBLE DOMAINS [J].
JERISON, DS ;
KENIG, CE .
ADVANCES IN MATHEMATICS, 1982, 46 (01) :80-147