L p -Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups

Tohru Ozawa, Michael Ruzhansky, Durvudkhan Suragan

Research output: Contribution to journalArticle

Abstract

We prove L p -Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups, which is one of most general subclasses of nilpotent Lie groups, all with sharp constants. We also discuss some of their consequences. Already in the Abelian cases of isotropic or anisotropic ℝ n , our results provide new conclusions in view of the arbitrariness of the choice of the not necessarily Euclidean quasi-norm.

Original languageEnglish
Pages (from-to)305-318
Number of pages14
JournalQuarterly Journal of Mathematics
Volume70
Issue number1
DOIs
Publication statusPublished - Mar 1 2019

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Sharp Constants
Homogeneous Groups
Nilpotent Lie Group
Euclidean
Norm

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

L p -Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups. / Ozawa, Tohru; Ruzhansky, Michael; Suragan, Durvudkhan.

In: Quarterly Journal of Mathematics, Vol. 70, No. 1, 01.03.2019, p. 305-318.

Research output: Contribution to journalArticle

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