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
Recommended Citation
Bolt, Michael, "A geometric characterization: Complex ellipsoids and the Bochner-Martinelli kernel" (2005). University Faculty Publications and Creative Works. 457.
https://digitalcommons.calvin.edu/calvin_facultypubs/457