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arXiv · 0709.0512

Sobolev Inequalities, Riesz Transforms and the Ricci Flow

Rugang Ye
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Abstract

In this paper we study the problem of deriving further Sobolev inequalities from a given Sobolev inequality. We use several different methods, including Bessel potentials and Riesz transforms. We apply the results to the Ricci flow to extend the author's results on the $W^{1,2}$ Sobolev inequality along the Ricci flow to $W^{1,p}$ and $W^{2,p}$ Sobolev inequalities for general p.

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BibTeXRIS

Rugang Ye. 2007-09-04. Sobolev Inequalities, Riesz Transforms and the Ricci Flow. https://arxiv.org/abs/0709.0512

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