The (partial deriv)-bar-equation on a positive current

摘要

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