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arXiv · 1806.06226

Subelliptic geometric Hardy type inequalities on half-spaces and convex domains

Michael Ruzhansky·Bolys Sabitbek·Durvudkhan Suragan
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Abstract

In this paper we present $L^2$ and $L^p$ versions of the geometric Hardy inequalities in half-spaces and convex domains on stratified (Lie) groups. As a consequence, we obtain the geometric uncertainty principles. We give examples of the obtained results for the Heisenberg and the Engel groups.

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Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan. 2018-06-16. Subelliptic geometric Hardy type inequalities on half-spaces and convex domains. https://arxiv.org/abs/1806.06226

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