Sobolev Inequalities, Riesz Transforms, and the Ricci Flow
A number of results about deriving further Sobolev inequalities from a given Sobolev inequality are presented. Various techniques are employed, including Bessel potentials and Riesz transforms. Combining these results with the W 1 , 2 Sobolev inequality along the Ricci flow established by the author...
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Veröffentlicht in: | Communications in mathematics and statistics 2014-06, Vol.2 (2), p.187-209 |
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Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | A number of results about deriving further Sobolev inequalities from a given Sobolev inequality are presented. Various techniques are employed, including Bessel potentials and Riesz transforms. Combining these results with the
W
1
,
2
Sobolev inequality along the Ricci flow established by the author in earlier papers then yields various new Sobolev inequalities along the Ricci flow. |
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ISSN: | 2194-6701 2194-671X |
DOI: | 10.1007/s40304-014-0035-9 |