Hörmander's HP multiplier theorem for the Heisenberg group

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Abstract

Let ℍn denote the (2n + 1)-dimensional Heisenberg group. Given an operator-valued function M, define the operator TM by (TMf)̂ = f̂M with '̂' denoting the Fourier transform. Hörmander-type sufficient conditions are determined on M for the Hp-boundedness, p ≤ 1, of the operator TM on ℍn.

Original languageEnglish
Pages (from-to)686-700
Number of pages15
JournalJournal of the London Mathematical Society
Volume67
Issue number3
DOIs
StatePublished - Jun 2003

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