Fourier Multipliers on Anisotropic Mixed-Norm Spaces of Distributions
Functional Analysis
2018-02-27 v1
Abstract
A new general Hormander type condition involving anisotropies and mixed norms is introduced, and boundedness results for Fourier multi- pliers on anisotropic Besov and Triebel-Lizorkin spaces of distributions with mixed Lebesgue norms are obtained. As an application, the continuity of such operators is established on mixed Sobolev and Lebesgue spaces too. Some lifting properties and equivalent norms are obtained as well.
Keywords
Cite
@article{arxiv.1802.09193,
title = {Fourier Multipliers on Anisotropic Mixed-Norm Spaces of Distributions},
author = {Galatia Cleanthous and Athanasios G. Georgiadis and Morten Nielsen},
journal= {arXiv preprint arXiv:1802.09193},
year = {2018}
}
Comments
Accepted for publication in Math. Scand