On the H^1-L^1 boundedness of operators

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dc.creatorMeda, S.
dc.creatorSjogren, P.
dc.creatorVallarino, M.
dc.date2008-01-11
dc.date.accessioned2026-07-07T08:53:48Z
dc.date.available2026-07-07T08:53:48Z
dc.descriptionWe prove that if q is in (1,\infty), Y is a Banach space and T is a linear operator defined on the space of finite linear combinations of (1,q)-atoms in R^n which is uniformly bounded on (1,q)-atoms, then T admits a unique continuous extension to a bounded linear operator from H^1(R^n) to Y. We show that the same is true if we replace (1,q)-atoms with continuous (1,\infty)-atoms. This is known to be false for (1,\infty)-atoms.
dc.descriptionThis paper will appear in Proceedings of the American Mathematical Society
dc.identifierhttps://arxiv.org/abs/0801.1745
dc.identifierhttp://arxiv.org/abs/0801.1745
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145751
dc.subjectClassical Analysis and ODEs
dc.subject42B30, 46A22
dc.titleOn the H^1-L^1 boundedness of operators
dc.typetext

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