SUBELLIPTIC GEOMETRIC HARDY TYPE INEQUALITIES ON HALF‑SPACES AND CONVEX DOMAINS

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Date

2020-04-02

Authors

Ruzhansky, Michael
Sabitbek, Bolys
Suragan, Durvudkhan

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Duke University Press

Abstract

In this paper we present L2 and Lp 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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Keywords

Stratifed groups, Geometric Hardy inequality, Half-space, Convex domain, Type of access: Open Access

Citation

Ruzhansky, M., Sabitbek, B., & Suragan, D. (2020). Subelliptic geometric Hardy type inequalities on half-spaces and convex domains. Annals of Functional Analysis, 11(4), 1042–1061. https://doi.org/10.1007/s43034-020-00067-9

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https://doi.org/10.1007/s43034-020-00067-9
 https://link.springer.com/article/10.1007%2Fs43034-020-00067-9
 http://nur.nu.edu.kz/handle/123456789/5567

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