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Doklady Mathematics

, Volume 93, Issue 3, pp 256–258 | Cite as

On inequalities relating the Sobolev and Kantorovich norms

  • V. I. BogachevEmail author
  • F. -Y. Wang
  • A. V. Shaposhnikov
Mathematics

Abstract

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

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Copyright information

© Pleiades Publishing, Ltd. 2016

Authors and Affiliations

  • V. I. Bogachev
    • 1
    • 2
    • 3
    Email author
  • F. -Y. Wang
    • 4
    • 5
  • A. V. Shaposhnikov
    • 1
  1. 1.Faculty of Mechanics and MathematicsMoscow State UniversityMoscowRussia
  2. 2.St. Tikhon’s Orthodox UniversityMoscowRussia
  3. 3.National Research University Higher School of EconomicsMoscowRussia
  4. 4.Beijing Normal UniversityBeijingChina
  5. 5.Swansea UniversitySwanseaUK

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