Estimates for the ∂̄−neumann Operator on Strongly Pseudo-convex Domain with Lipschitz Boundary

نویسنده

  • O. ABDELKADER
چکیده

On a bounded strongly pseudo-convex domain X in C with a Lipschitz boundary, we prove that the ∂̄−Neumann operator N can be extended as a bounded operator from Sobolev (−1/2)−spaces to the Sobolev (1/2)−spaces. In particular, N is compact operator on Sobolev (−1/2)−spaces.

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تاریخ انتشار 2004