The ¯∂-equation on a positive current |
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| Authors: | Bo Berndtsson Nessim Sibony |
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| Institution: | 1.Department of Mathematics, CTH, S-412 96 G?teborg, Sweden (e-mail:?bob@math.chalmers.se),SE;2.Mathématiques, Bat 425, UMR 8628 Université Paris-Sud, 91405 Orsay Cedex, France (e-mail:?Nessim.Sibony@math.u-psud.fr),FR |
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| Abstract: | We study the induced ˉ∂-equation on a positive current in a complex manifold. We extend the L
2-estimates for the ˉ∂-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 ˉ∂-equation on a positive closed current of bidegree (1,1) on a pseudoconvex domain in ℂ
n
.
Oblatum 7-XII-2000 & 28-VI-2001?Published online: 24 September 2001 |
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| Keywords: | |
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