On the failure of the H\"ormander multiplier theorem in a limiting case
Classical Analysis and ODEs
2018-05-28 v1
Abstract
We discuss the H\"ormander multiplier theorem for boundedness of Fourier multipliers in which the multiplier belongs to a fractional Sobolev space with smoothness . We show that this theorem does not hold in the limiting case .
Keywords
Cite
@article{arxiv.1805.09907,
title = {On the failure of the H\"ormander multiplier theorem in a limiting case},
author = {Lenka Slavíková},
journal= {arXiv preprint arXiv:1805.09907},
year = {2018}
}