On inequalities relating the Sobolev and Kantorovich norms

Authors: Bogachev V.I.¹^,2^,3, Wang F.-.⁴^,5, Shaposhnikov A.V.¹
Affiliations:
1. Faculty of Mechanics and Mathematics
2. St. Tikhon’s Orthodox University
3. National Research University Higher School of Economics
4. Beijing Normal University
5. Swansea University
Issue: Vol 93, No 3 (2016)
Pages: 256-258
Section: Mathematics
URL: https://journals.rcsi.science/1064-5624/article/view/223673
DOI: https://doi.org/10.1134/S1064562416030042
ID: 223673

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New inequalities relating Sobolev and Kantorovich norms for functions on Riemannian manifolds satisfying certain curvature conditions are obtained.

Faculty of Mechanics and Mathematics; St. Tikhon’s Orthodox University; National Research University Higher School of Economics

Author for correspondence.
Email: vibogach@mail.ru
Russian Federation, Moscow, 119991; Moscow; Moscow

Beijing Normal University; Swansea University

Email: vibogach@mail.ru
China, Beijing; Swansea

Faculty of Mechanics and Mathematics

Email: vibogach@mail.ru
Russian Federation, Moscow, 119991