Fourier Multipliers and Littlewood-Paley For Modulation Spaces
Classical Analysis and ODEs
2012-08-30 v1 Functional Analysis
Abstract
In this paper we have studied Fourier multipliers and Littlewood-Paley square functions in the context of modulation spaces. We have also proved that any bounded linear operator from modulation space into itself possesses an valued extension. This is an analogue of a well known result due to Marcinkiewicz and Zygmund on classical spaces.
Keywords
Cite
@article{arxiv.1208.5832,
title = {Fourier Multipliers and Littlewood-Paley For Modulation Spaces},
author = {Parasar Mohanty and Saurabh Shrivastava},
journal= {arXiv preprint arXiv:1208.5832},
year = {2012}
}
Comments
17 pages