ANISOTROPIC SHANNON INEQUALITY
Chatzakou M. Kassymov A. Ruzhansky M.
January 2024Osaka University
Osaka Journal of Mathematics
2024#61Issue 179 - 89 pp.
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.
Text of the article Перейти на текст статьи
Department of Mathematics Analysis, Logic and Discrete Mathematics, Ghent University, Belgium
Institute of Mathematics and Mathematical Modeling, 125 Pushkin str, Almaty, 050010, Kazakhstan
Al-Farabi Kazakh National University, 71 Al-Farabi avenue, Almaty, 050040, Kazakhstan
School of Mathematical Sciences, Queen Mary University of London, United Kingdom
Department of Mathematics Analysis
Institute of Mathematics and Mathematical Modeling
Al-Farabi Kazakh National University
School of Mathematical Sciences
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026