Inégalités de Caffarelli–Kohn–Nirenberg étendues et super-poids des inégalités de Hardy Lp-pondérées

Michael Ruzhansky; Durvudkhan Suragan; Nurgissa Yessirkegenov

doi:10.1016/j.crma.2017.04.011

Inégalités de Caffarelli–Kohn–Nirenberg étendues et super-poids des inégalités de Hardy L^p-pondérées

Translated title of the contribution: Extended Caffarelli–Kohn–Nirenberg inequalities and superweights for L^p-weighted Hardy inequalities

Michael Ruzhansky, Durvudkhan Suragan, Nurgissa Yessirkegenov

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

In this paper, we give an extension of the classical Caffarelli–Kohn–Nirenberg inequalities with respect to the range of parameters. We also establish best constants for large families of parameters. Moreover, we also obtain anisotropic versions of these inequalities which can be conveniently formulated in the language of Folland and Stein's homogeneous groups. We also establish sharp Hardy type inequalities in L^p, 1<p<∞, with superweights.

Translated title of the contribution	Extended Caffarelli–Kohn–Nirenberg inequalities and superweights for L^p-weighted Hardy inequalities
Original language	French
Pages (from-to)	694-698
Number of pages	5
Journal	Comptes Rendus Mathematique
Volume	355
Issue number	6
DOIs	https://doi.org/10.1016/j.crma.2017.04.011
Publication status	Published - Jun 1 2017
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1016/j.crma.2017.04.011

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AU - Yessirkegenov, Nurgissa

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Inégalités de Caffarelli–Kohn–Nirenberg étendues et super-poids des inégalités de Hardy L^p-pondérées

Abstract

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