SQUARE FUNCTION/NON-TANGENTIAL MAXIMAL FUNCTION ESTIMATES AND THE DIRICHLET PROBLEM FOR NON-SYMMETRIC ELLIPTIC OPERATORS

被引：1
作者：
Hofmann, Steve [1 ]
Kenig, Carlos [2 ]
Mayboroda, Svitlana [3 ]
Pipher, Jill [4 ]
机构：
[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA
[2] Univ Chicago, Dept Math, Chicago, IL 60637 USA
[3] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
[4] Brown Univ, Dept Math, Providence, RI 02912 USA
来源：
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 28卷 / 02期
基金：
美国国家科学基金会;
关键词：
Divergence form elliptic equations; Dirichlet problem; harmonic measure; square function; non-tangential maximal function; epsilon-approximability; A(infinity) Muckenhoupt weights; layer potentials; HOMOGENIZATION; SPACES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
引用
收藏
页码：483 / 529
页数：47
相关论文
共 29 条
[1]   Analyticity of layer potentials and L2 solvability of boundary value problems for divergence form elliptic equations with complex L∞ coefficients [J].
Alfonseca, M. Angeles ;
Auscher, Pascal ;
Axelsson, Andreas ;
Hofmann, Steve ;
Kim, Seick .
ADVANCES IN MATHEMATICS, 2011, 226 (05) :4533-4606
[2]   The solution of the Kato square root problem for second order elliptic operators on Rn [J].
Auscher, P ;
Hofmann, S ;
Lacey, M ;
McIntosh, A ;
Tchamitchian, P .
ANNALS OF MATHEMATICS, 2002, 156 (02) :633-654
[3]   Extrapolation of Carleson measures and the analyticity of Kato's square-root operators [J].
Auscher, P ;
Hofmann, S ;
Lewis, JL ;
Tchamitchian, P .
ACTA MATHEMATICA, 2001, 187 (02) :161-190
[4]  
Auscher P, 2007, MEM AM MATH SOC, V186, pXI
[5]   Weighted maximal regularity estimates and solvability of non-smooth elliptic systems I [J].
Auscher, Pascal ;
Axelsson, Andreas .
INVENTIONES MATHEMATICAE, 2011, 184 (01) :47-115
[6]  
Auscher Pascal, 1998, ASTERISQUE, V249
[7]  
Bensoussan Alain, 1978, STUDIES MATH ITS APP, V5
[8]   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
[9]   SOME NEW FUNCTION-SPACES AND THEIR APPLICATIONS TO HARMONIC-ANALYSIS [J].
COIFMAN, RR ;
MEYER, Y ;
STEIN, EM .
JOURNAL OF FUNCTIONAL ANALYSIS, 1985, 62 (02) :304-335
[10]  
COIFMAN RR, 1974, STUD MATH, V51, P241
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