Compactness of the d-bar-Neumann problem on convex domains

Mathematics – Complex Variables

Scientific paper

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Scientific paper

The d-bar-Neumann operator on (0,q)-forms ($1\le q \le n$) on a bounded
convex domain Omega in C^n is compact if and only if the boundary of Omega
contains no complex analytic (equivalently: affine) variety of dimension
greater than or equal to q.

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