Open Access
Fall 2005 A geometric characterization: complex ellipsoids and the Bochner-Martinelli kernel
Michael Bolt
Illinois J. Math. 49(3): 811-826 (Fall 2005). DOI: 10.1215/ijm/1258138220

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-Aĭzenberg 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-Aĭzenberg kernel for a strictly convex hypersurface in $\mathbb{C}^n$ is shown to be Möbius invariant when defined with respect to Fefferman measure.

Citation

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Michael Bolt. "A geometric characterization: complex ellipsoids and the Bochner-Martinelli kernel." Illinois J. Math. 49 (3) 811 - 826, Fall 2005. https://doi.org/10.1215/ijm/1258138220

Information

Published: Fall 2005
First available in Project Euclid: 13 November 2009

zbMATH: 1091.32003
MathSciNet: MR2210260
Digital Object Identifier: 10.1215/ijm/1258138220

Subjects:
Primary: 32A26

Rights: Copyright © 2005 University of Illinois at Urbana-Champaign

Vol.49 • No. 3 • Fall 2005
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