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On inequalities relating the Sobolev and Kantorovich norms

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Abstract

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

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Author information

Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991, Russia

    V. I. Bogachev & A. V. Shaposhnikov

  2. St. Tikhon’s Orthodox University, Moscow, Russia

    V. I. Bogachev

  3. National Research University Higher School of Economics, Moscow, Russia

    V. I. Bogachev

  4. Beijing Normal University, Beijing, China

    F. -Y. Wang

  5. Swansea University, Swansea, UK

    F. -Y. Wang

Authors
  1. V. I. Bogachev
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  2. F. -Y. Wang
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  3. A. V. Shaposhnikov
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Corresponding author

Correspondence to V. I. Bogachev.

Additional information

Published in Russian in Doklady Akademii Nauk, 2016, Vol. 468, No. 2, pp. 131–133.

The article was translated by the authors.

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Bogachev, V.I., Wang, F.Y. & Shaposhnikov, A.V. On inequalities relating the Sobolev and Kantorovich norms. Dokl. Math. 93, 256–258 (2016). https://doi.org/10.1134/S1064562416030042

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  • DOI: https://doi.org/10.1134/S1064562416030042

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