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. © 1987 Fondazione Annali di Matematica Pura ed Aplicata.
DE MICHELE, L., Mauceri, G. (1987). HP MULTIPLIERS ON STRATIFIED GROUPS. ANNALI DI MATEMATICA PURA ED APPLICATA, 148(1), 353-366 [10.1007/BF01774295].
HP MULTIPLIERS ON STRATIFIED GROUPS
DE MICHELE, LEONEDE;
1987
Abstract
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. © 1987 Fondazione Annali di Matematica Pura ed Aplicata.
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