Abstract
Let G be a Lie group of polynomial growth. We prove that the second-order Riesz transforms onL2(G; dg) are bounded if, and only if, the group is a direct product of a compact group and a nilpotent group, in which case the transforms of all orders are bounded.
Original language | English |
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Pages (from-to) | 14-51 |
Number of pages | 38 |
Journal | Journal of Functional Analysis |
Volume | 162 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1999 |