Summability Kernels for $L^p$ Multipliers
Functional Analysis
2007-05-23 v1
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 to be a summability kernel. For the case p=1, we have studied the properties of measures which are transferred from to through summability kernels. Further, we have extended every sequences to multipliers for certain values of p and q.
Cite
@article{arxiv.math/0201086,
title = {Summability Kernels for $L^p$ Multipliers},
author = {P. Mohanty and S. Madan},
journal= {arXiv preprint arXiv:math/0201086},
year = {2007}
}