Article

Annali di Matematica Pura ed Applicata

, Volume 148, Issue 1, pp 353-366

First online:

H p multipliers on stratified groups

  • Leowede De MicheleAffiliated withDipartimento di Matematica, Università di Milano
  • , Giancarlo MauceriAffiliated withIstituto di Matematica, Università di Genova

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Summary

In this paper we give a criterion for boundedness on the Hardy spaces for functions M(ℒ) of the sublaplacian ℒ on a stratified group. The criterion requires that the function M satisfies locally a Besov condition. The proof is based on the atomic and molecular characterization of Hardy spaces.