Regularity of the Bergman projection on forms and plurisubharmonicity conditions
Anne-Katrin Herbig, Jeffery D. McNeal
Abstract
Let D be a smoothly bounded domain in a complex vector space of dimension n. Suppose that D has a smooth defining function, such that the sum of any q eigenvalues of its complex Hessian are non-negative on the closure of D. We show that this implies global regularity of the Bergman projection on (0,j)-forms for j larger or equal to q-1.
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