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arXiv · 1412.0076

Progress on Hardy-type Inequalities

Mu-Fa Chen
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Abstract

This paper surveys some of our recent progress on Hardy-type inequa\-lities which consist of a well-known topic in Harmonic Analysis. In the first section, we recall the original probabilistic motivation dealing with the stability speed in terms of the $L^2$-theory. A crucial application of a result by Fukushima and Uemura (2003) is included. In the second section, the non-linear case (a general Hardy-type inequality) is handled with a direct and analytic proof. In the last section, it is illustrated that the basic estimates presented in the first two sections can still be improved considerably.

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Mu-Fa Chen. 2014-11-29. Progress on Hardy-type Inequalities. https://arxiv.org/abs/1412.0076

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