Summability Kernels for $L^p$ Multipliers

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dc.creatorMohanty, P.
dc.creatorMadan, S.
dc.date2002-01-10
dc.date.accessioned2026-07-07T04:45:47Z
dc.date.available2026-07-07T04:45:47Z
dc.descriptionIn this paper we have characterized the space of summability kernels for the case p=1 and p=2. For other values of p we give a necessary condition for a function $Λ$ to be a summability kernel. For the case p=1, we have studied the properties of measures which are transferred from $M(\mathbb Z)$ to $M(\mathbb R)$ through summability kernels. Further, we have extended every $l_p(\mathbb Z)$ sequences to $L^q(\mathbb R)$ multipliers for certain values of p and q.
dc.identifierhttps://arxiv.org/abs/math/0201086
dc.identifierhttp://arxiv.org/abs/math/0201086
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63085
dc.subjectFunctional Analysis
dc.subject42A45, 42A38
dc.titleSummability Kernels for $L^p$ Multipliers
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