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

19 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

Access to Document

10.1090/S0002-9947-2010-04920-7

Cite this

@article{fc155a8143c843bcb7610fe9954c98ce,

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.",

author = "Cowling, {Michael G.} and Oldrich Klima and Adam Sikora",

year = "2011",

month = feb,

doi = "10.1090/S0002-9947-2010-04920-7",

language = "English",

volume = "363",

pages = "611--631",

journal = "Transactions of the American Mathematical Society",

issn = "0002-9947",

publisher = "American Mathematical Society",

number = "2",

}

TY - JOUR

T1 - Spectral multipliers for the kohn sublaplacian on the sphere in Cn

AU - Cowling, Michael G.

AU - Klima, Oldrich

AU - Sikora, Adam

PY - 2011/2

Y1 - 2011/2

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=78651283207&partnerID=8YFLogxK

U2 - 10.1090/S0002-9947-2010-04920-7

DO - 10.1090/S0002-9947-2010-04920-7

M3 - Article

AN - SCOPUS:78651283207

SN - 0002-9947

VL - 363

SP - 611

EP - 631

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 2

ER -

Spectral multipliers for the kohn sublaplacian on the sphere in Cⁿ

Abstract

Access to Document

Other files and links

Fingerprint

Cite this