Some new light on a few classical results
Classical Analysis and ODEs
2013-11-19 v1
Abstract
The purpose of this paper is to describe a unified approach to proving vector-valued inequalities without relying on the full strength of weighted theory. Our applications include the Fefferman-Stein and Cordoba-Fefferman inequalities, as well as the vector-valued Carleson operator. Using this approach we also produce a proof of the boundedness of the classical bi-parameter multiplier operators, that does not rely on product theory. Our arguments are inspired by the vector valued restricted type interpolation used in [1].
Cite
@article{arxiv.1311.4092,
title = {Some new light on a few classical results},
author = {Ciprian Demeter and Prabath Silva},
journal= {arXiv preprint arXiv:1311.4092},
year = {2013}
}