Email this article On inequalities relating the Sobolev and Kantorovich norms
- Authors: Bogachev V.I.1,2,3, Wang F.-.4,5, Shaposhnikov A.V.1
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Affiliations:
- Faculty of Mechanics and Mathematics
- St. Tikhon’s Orthodox University
- National Research University Higher School of Economics
- Beijing Normal University
- Swansea University
- Issue: Vol 93, No 3 (2016)
- Pages: 256-258
- Section: Mathematics
- URL: https://journal-vniispk.ru/1064-5624/article/view/223673
- DOI: https://doi.org/10.1134/S1064562416030042
- ID: 223673
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Abstract
New inequalities relating Sobolev and Kantorovich norms for functions on Riemannian manifolds satisfying certain curvature conditions are obtained.
About the authors
V. I. Bogachev
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
F. -Y. Wang
Beijing Normal University; Swansea University
Email: vibogach@mail.ru
China, Beijing; Swansea
A. V. Shaposhnikov
Faculty of Mechanics and Mathematics
Email: vibogach@mail.ru
Russian Federation, Moscow, 119991
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