Euler semigroup, Hardy–Sobolev and Gagliardo–Nirenberg type inequalities on homogeneous groups

Michael Ruzhansky, Durvudkhan Suragan, Nurgissa Yessirkegenov

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this paper we describe the Euler semigroup {e-tE∗E}t>0 on homogeneous Lie groups, which allows us to obtain various types of the Hardy–Sobolev and Gagliardo–Nirenberg type inequalities for the Euler operator E. Moreover, the sharp remainder terms of the Sobolev type inequality, maximal Hardy inequality and | · | -radial weighted Hardy–Sobolev type inequality are established.

Original languageEnglish
Pages (from-to)162-191
Number of pages30
JournalSemigroup Forum
Volume101
Issue number1
DOIs
Publication statusAccepted/In press - 2020

Keywords

  • Euler semigroup
  • Hardy inequality
  • Homogeneous group
  • Sobolev inequality

ASJC Scopus subject areas

  • Algebra and Number Theory

Fingerprint Dive into the research topics of 'Euler semigroup, Hardy–Sobolev and Gagliardo–Nirenberg type inequalities on homogeneous groups'. Together they form a unique fingerprint.

Cite this