Spectral multipliers for the kohn sublaplacian on the sphere in Cn

Michael G. Cowling; Oldrich Klima; Adam Sikora

doi:10.1090/S0002-9947-2010-04920-7

Spectral multipliers for the kohn sublaplacian on the sphere in Cⁿ

Michael G. Cowling, Oldrich Klima, Adam Sikora

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

18 Citations (Scopus)

Abstract

The unit sphere S in Cⁿ has a natural sublaplacian L. We prove that the critical index for a Hörmander spectral multiplier theorem for L is n - 1/2, that is, half the topological dimension of S.

Original language	English
Pages (from-to)	611-631
Number of pages	21
Journal	Transactions of the American Mathematical Society
Volume	363
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9947-2010-04920-7
Publication status	Published - Feb 2011
Externally published	Yes

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title = "Spectral multipliers for the kohn sublaplacian on the sphere in Cn",

abstract = "The unit sphere S in Cn has a natural sublaplacian L. We prove that the critical index for a H{\"o}rmander spectral multiplier theorem for L is n - 1/2, that is, half the topological dimension of S.",

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

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Spectral multipliers for the kohn sublaplacian on the sphere in Cⁿ

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