Spectral multipliers for the kohn sublaplacian on the sphere in Cn

Michael G. Cowling, Oldrich Klima, Adam Sikora

Research output: Contribution to journalArticle

14 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 languageEnglish
Pages (from-to)611-631
Number of pages21
JournalTransactions of the American Mathematical Society
Volume363
Issue number2
DOIs
Publication statusPublished - Feb 2011
Externally publishedYes

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