Sobolev–Kantorovich inequalities under CD(0,∞) condition-Reference-Cited by-同舟云学术

Sobolev–Kantorovich inequalities under CD(0,∞) condition

Published:2021-03-16 Issue: Volume: Page:2150027
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Bogachev Vladimir I.¹²,Shaposhnikov Alexander V.³,Wang Feng-Yu⁴⁵

Affiliation:

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

2. Faculty of Mathematics, National Research University, Higher School of Economics, Usacheva 6, 119048 Moscow, Russia

3. Steklov Mathematical Institute of Russian Academy of Science, 8 Gubkina Street, 119991 Moscow, Russia

4. Center for Applied Mathematics, Tianjin University, Tianjin 300072, P. R. China

5. Department of Mathematics, Swansea University, Bay Campus, Swansea SA1 8EN, UK

Abstract

We refine and generalize several interpolation inequalities bounding the [Formula: see text] norm of a probability density with respect to the reference measure [Formula: see text] by its Sobolev norm and the Kantorovich distance to [Formula: see text] on a smooth weighted Riemannian manifold satisfying [Formula: see text] condition.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199721500279

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