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Sobolev–Kantorovich inequalities under CD(0,∞) condition
Communications in Contemporary Mathematics, Volume: 24, Issue: 05
Swansea University Author: Feng-yu Wang
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DOI (Published version): 10.1142/s0219199721500279
Abstract
Sobolev–Kantorovich inequalities under CD(0,∞) condition
Published in: | Communications in Contemporary Mathematics |
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ISSN: | 0219-1997 1793-6683 |
Published: |
World Scientific Pub Co Pte Ltd
2022
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Online Access: |
Check full text
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URI: | https://cronfa.swan.ac.uk/Record/cronfa60173 |
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Keywords: |
Kantorovich norm; Sobolev norm; Riemannian manifold; heat flow; Harnackinequality; gradient estimate |
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College: |
Faculty of Science and Engineering |
Funders: |
The first author was supported by the Russian Science Foundation grant 17-11-01058 at Lomonosov Moscow State University (the results of Sec. 3), the thirdauthor was supported by the NNSFC grants 11771326, 11831014 and 11921001 (theresults in Secs. 4 and 5). The work of A. V. Shaposhnikov (the results of Sec. 2) wasperformed at the Steklov International Mathematical Center and supported by theMinistry of Science and Higher Education of the Russian Federation (agreementno. 075-15-2019-1614). |
Issue: |
05 |