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Regularity of the Bergman projection on forms and plurisubharmonicity conditions

Anne-Katrin Herbig·Jeffery D. McNeal
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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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Anne-Katrin Herbig, Jeffery D. McNeal. 2005-11-01. Regularity of the Bergman projection on forms and plurisubharmonicity conditions. https://arxiv.org/abs/math/0511018

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