"A geometric characterization: Complex ellipsoids and the Bochner-Marti" by Michael Bolt
 

Document Type

Article

Publication Title

Illinois Journal of Mathematics

Abstract

Boas' characterization of bounded domains for which the Bochner-Martinelli kernel is self-adjoint is extended to the case of a weighted measure. For strictly convex domains, this equivalently characterizes the ones whose Leray-Aǐzenberg kernel is self-adjoint with respect to weighted measure. In each case, the domains are complex linear images of a ball, and the measure is the Fefferman measure. The Leray-Aǐzenberg kernel for a strictly convex hypersurface in ℂn is shown to be Möbius invariant when defined with respect to Fefferman measure. © 2005 University of Illinois.

First Page

811

Last Page

826

DOI

10.1215/ijm/1258138220

Publication Date

1-1-2005

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