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.
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页码：371 / 428
页数：58
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