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.
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De Michele, L., Mauceri, G. H p multipliers on stratified groups. Annali di Matematica pura ed applicata 148, 353–366 (1987). https://doi.org/10.1007/BF01774295
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DOI: https://doi.org/10.1007/BF01774295