Regularity of the Bergman Projection on Forms and Plurisubharmonicity Conditions |
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Authors: | A-K Herbig J D McNeal |
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Institution: | (1) Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA;(2) Department of Mathematics, Ohio State University, Columbus, OH 43210, USA |
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Abstract: | Let be a smoothly bounded domain. Suppose Ω has a defining function, such that the sum of any q eigenvalues of its complex Hessian is non-negative. We show that this implies global regularity of the Bergman projection, B
j-1, and the -Neumann operator, N
j
, acting on (0,j)-forms, for .Research of the first author was partially supported by a Rackham Fellowship.Research of the second author was partially supported by an NSF grant. |
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Keywords: | 32W05 |
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