Summability Kernels for $L^p$ Multipliers

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63085In 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.Functional Analysis42A45, 42A38Summability Kernels for $L^p$ Multiplierstext