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

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