Riesz transforms and Lie groups of polynomial growth

A.F.M. Elst, ter, D.W. Robinson, A. Sikora

Research output: Contribution to journalArticleAcademicpeer-review

19 Citations (Scopus)

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 languageEnglish
Pages (from-to)14-51
Number of pages38
JournalJournal of Functional Analysis
Volume162
Issue number1
DOIs
Publication statusPublished - 1999

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