The partial derivative-equation on a positive current

被引：51

作者：

Berndtsson, B ^{[1
]}

Sibony, N

机构：

[1] CTH, Dept Math, S-41296 Gothenburg, Sweden

[2] Univ Paris 11, UMR 8628, F-91405 Orsay, France

来源：

INVENTIONES MATHEMATICAE | 2002年 / 147卷 / 02期

关键词：

D O I：

10.1007/S002220100178

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the induced partial derivative-equation on a positive current in: a complex manifold. We extend the L-2-estimates for the partial derivative-equation to harmonic currents of bidimension (1, 1), satisfying a Frobenius type condition. We, also show that the L-2-estimates are satisfied for the partial derivative-equation on a positive closed current of bidegree (1, 1) on a pseudoconvex domain in C-n.

引用

页码：371 / 428

页数：58

共 21 条

[1] Andreotti A., 1965, PUBL MATH-PARIS, V25, P81
[2] Carleson L., 1967, VANNOSTRAND MATH STU
[3] DEMAILLY JP, 1982, ANN SCI ECOLE NORM S, V15, P457
[4] L2-COHOMOLOGY AND INDEX THEOREM FOR THE BERGMAN METRIC
DONNELLY, H
FEFFERMAN, C
[J]. ANNALS OF MATHEMATICS, 1983, 118 (03) : 593 - 618
[5] KAHLERIAN CHARACTERIZATION OF RATIONALLY CONVEX SURFACES
DUVAL, J
[J]. ACTA MATHEMATICA, 1994, 172 (01) : 77 - 89
[6] POLYNOMIAL CONVEXITY, RATIONAL CONVEXITY, AND CURRENTS
DUVAL, J
SIBONY, N
[J]. DUKE MATHEMATICAL JOURNAL, 1995, 79 (02) : 487 - 513
[7] FOLIATIONS, THE ERGODIC THEOREM AND BROWNIAN-MOTION
GARNETT, L
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1983, 51 (03) : 285 - 311
[8] GHYS E, 1999, PANORAMAS SYNTHESES, P49
[9] Gilbar D., 1983, ELLIPTIC PARTIAL DIF
[10] HARVEY R, 1974, VALUE DISTRIBUTION T

← 1 2 3 →