A local geometric characterization of the Bochner-Martinelli kernel
نویسندگان
چکیده
منابع مشابه
A Geometric Characterization: Complex Ellipsoids and the Bochner-martinelli Kernel
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-Aı̌zenberg 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...
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C n1ðfÞð f1 q1Þ þ n2ðfÞð f2 q2Þ jf qj f ðfÞdHðfÞ; q R oX; has continuous limit values on C if the truncated integrals.
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In order to characterise the C∗ -algebra generated by the singular Bochner-Martinelli integral over a smooth closed hypersurfaces in C, we compute its principal symbol. We show then that the Szegö projection belongs to the strong closure of the algebra generated by the singular Bochner-Martinelli integral. Mathematics Subject Classification (2000). Primary 32A25; Secondary 47L15, 47G30.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2002
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-02-06699-6