Subaveraging estimates for CR functions

A. Boggess; R. Dwilewicz

doi:10.1090/S0002-9939-1988-0958054-4

Subaveraging estimates for CR functions

A. Boggess, R. Dwilewicz

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We give conditions o;…R submanifol;…n Cⁿ an;…ompact submanifol;…#x2282;…uch that the average value o;……R function o;…an be estimated uniformly by the L¹-norm of the CR function o;…eighborhood o;…n M. The conditions involve the Levi form o;…nd the transversality o;…o the holomorphic tangent bundle of M.

Original language	English (US)
Pages (from-to)	117-124
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	104
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1988-0958054-4
State	Published - Sep 1 1988
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1988-0958054-4

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abstract = "We give conditions o;…R submanifol;…n Cn an;…ompact submanifol;…#x2282;…uch that the average value o;……R function o;…an be estimated uniformly by the L1-norm of the CR function o;…eighborhood o;…n M. The conditions involve the Levi form o;…nd the transversality o;…o the holomorphic tangent bundle of M.",

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AB - We give conditions o;…R submanifol;…n Cn an;…ompact submanifol;…#x2282;…uch that the average value o;……R function o;…an be estimated uniformly by the L1-norm of the CR function o;…eighborhood o;…n M. The conditions involve the Levi form o;…nd the transversality o;…o the holomorphic tangent bundle of M.

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Subaveraging estimates for CR functions

Abstract

ASJC Scopus subject areas

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