Abstract

We study the induced ¯∂-equation on a positive current in a complex manifold. We extend the L 2-estimates for the ¯∂-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 ¯∂-equation on a positive closed current of bidegree (1,1) on a pseudoconvex domain in ℂ n .

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