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://journals.rcsi.science/1064-5624/article/view/223673
- DOI: https://doi.org/10.1134/S1064562416030042
- ID: 223673
Cite item
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