Hardy-type and Heisenberg's inequality in Morrey spaces
Analysis of PDEs
2021-05-13 v1
Abstract
We use the Morrey norm estimate for the imaginary power of the Laplacian to prove an interpolation inequality for the fractional power of the Laplacian on Morrey spaces. We then prove a Hardy-type inequality and use it together with the interpolation inequality to obtain a Heisenberg-type inequality in Morrey spaces.
Keywords
Cite
@article{arxiv.1802.06531,
title = {Hardy-type and Heisenberg's inequality in Morrey spaces},
author = {Hendra Gunawan and Denny Ivanal Hakim and Eiichi Nakai and Yoshihiro Sawano},
journal= {arXiv preprint arXiv:1802.06531},
year = {2021}
}
Comments
14 pages