$\overline{\partial}$-Neumann Problem in the Sobolev Topology

Mathematics – Complex Variables

Scientific paper

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Scientific paper

We study the $\overline{\partial}$-Neumann problem using the Sobolev space
inner product. We show that the problem can be solved on any smoothly bounded,
pseudoconvex domain. We further formulate estimates and the basic results of a
Sobolev Hodge theory.

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