Riesz transforms and Lie groupsof polynomial

نویسندگان

  • Derek W. Robinson
  • Adam Sikora
چکیده

Let G be a Lie group of polynomial growth. We prove that the second-order Riesz transforms on L 2 (G ; dg) are bounded if, and only if, the group is a local direct product of a compact group and a nilpotent group, in which case the transforms of all orders are bounded.

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تاریخ انتشار 1998