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Hardy-Sobolev Estimates on Certain Riemann Manifolds and Lie Groups

✍ Scribed by N. Lohoue

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 794 KB
Volume: 112
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1993.1028

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✦ Synopsis

On prouve des estimées des potentiels des fonctions sur les variétés pour deux mesures différentes. 1993 Academic Press. Inc.

We prove potential estimates on manifolds for two different measures. ' 1993 Academic Press. Inc.

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Function spaces of Hardy Sobolev Besov type on symmetric spaces of noncompact type and unimodular Lie groups are investigated. The spaces were originally defined by uniform localization. In the paper we give a characterization of the space F s p, q (X ) and B s p, q (X ) in terms of heat and Poisson