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 |
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Pages (from-to) | 611-631 |
Number of pages | 21 |
Journal | Transactions of the American Mathematical Society |
Volume | 363 |
Issue number | 2 |
DOIs | |
Publication status | Published - Feb 2011 |
Externally published | Yes |