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

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

Michael Ruzhansky, Durvudkhan Suragan, Nurgissa Yessirkegenov

Research output: Contribution to journalArticlepeer-review

11 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 Lp, 1<p<∞, with superweights.

Translated title of the contributionExtended Caffarelli–Kohn–Nirenberg inequalities and superweights for Lp-weighted Hardy inequalities
Original languageFrench
Pages (from-to)694-698
Number of pages5
JournalComptes Rendus Mathematique
Volume355
Issue number6
DOIs
Publication statusPublished - Jun 1 2017
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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