Compactness of the d-bar-Neumann problem on convex domains
Siqi Fu, Emil J. Straube
Abstract
The d-bar-Neumann operator on (0,q)-forms (1 q n) on a bounded convex domain Omega in Cn 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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