Anisotropic Shannon inequality
Analysis of PDEs
2023-01-18 v2
Abstract
In this note we prove the anisotropic version of the Shannon inequality. This can be conveniently realised in the setting of Folland and Stein's homogeneous groups. We give two proofs: one giving the best constant, and another one using the Kubo-Ogawa-Suguro inequality.
Cite
@article{arxiv.2106.14182,
title = {Anisotropic Shannon inequality},
author = {Marianna Chatzakou and Aidyn Kassymov and Michael Ruzhansky},
journal= {arXiv preprint arXiv:2106.14182},
year = {2023}
}
Comments
12 pages; Small changes in Remark 3.4; to appear in Osaka J. Math