Multilinear Fourier multipliers on variable Lebesgue spaces
Classical Analysis and ODEs
2014-07-09 v1
Abstract
In this paper, we study properties of the bilinear multiplier space. We give a necessary condition for a continuous integrable function to be a bilinear multiplier on variable exponent Lebesgue spaces. And we prove the localization theorem of multipliers on variable exponent Lebesgue spaces. Moreover, we present a Mihlin-H\"ormander type theorem for multilinear Fourier multipliers on weighted variable Lebesgue spaces and give some applications.
Cite
@article{arxiv.1407.2141,
title = {Multilinear Fourier multipliers on variable Lebesgue spaces},
author = {Jineng Ren and Wenchang Sun},
journal= {arXiv preprint arXiv:1407.2141},
year = {2014}
}
Comments
16 pages