Fourier multipliers for Triebel-Lizorkin spaces on graded Lie groups
Functional Analysis
2021-01-25 v2 Analysis of PDEs
Abstract
In this work we investigate the boundedness of Fourier multipliers on Triebel-Lizorkin spaces associated to positive Rockland operators on a graded Lie group. The found criterion is expressed in terms of the H\"ormander-Mihlin condition on the global symbol of a Fourier multiplier.
Keywords
Cite
@article{arxiv.2101.05856,
title = {Fourier multipliers for Triebel-Lizorkin spaces on graded Lie groups},
author = {Duván Cardona and Michael Ruzhansky},
journal= {arXiv preprint arXiv:2101.05856},
year = {2021}
}
Comments
25 Pages. arXiv admin note: text overlap with arXiv:1610.04701