Summability Kernels for L^p Multipliers

2002/01/10 by Parasar Mohanty, P. Mohanty, Mohanty, P. +3
Mathematics · #42A38 #42A45 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:42A38 #msc:42A45

paper · pdf · doi:10.48550/arxiv.math/0201086

arxiv created 2002/01/10 · openalex publication_date 2002/01/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In 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.

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