Anisotropic Shannon inequality
arXiv:2106.14182
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.
12 pages; Small changes in Remark 3.4; to appear in Osaka J. Math