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

Tohru Ozawa, Michael Ruzhansky, Durvudkhan Suragan

研究成果: Article

4 引用 (Scopus)

抜粋

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.

元の言語English
ページ(範囲)305-318
ページ数14
ジャーナルQuarterly Journal of Mathematics
70
発行部数1
DOI
出版物ステータスPublished - 2019 3 1

ASJC Scopus subject areas

  • Mathematics(all)

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