Improved critical Hardy inequality and Leray-Trudinger type inequalities in Carnot groups

Authors

  • Van Hoang Nguyen FPT University, Department of Mathematics

Keywords:

Improved critical Hardy inequality, Leray-Trudinger inequality, Carnot groups

Abstract

In this paper, we prove an improvement of the critical Hardy inequality in Carnot groups. We show that this improvement is sharp and can not be improved. We apply this improved critical Hardy inequality together with the Moser-Trudinger inequality due to Balogh, Manfredi and Tyson (2003) to establish the Leray-Trudinger type inequalities which extend the inequalities of Psaradakis and Spector (2015) and Mallick and Tintarev (2018) to the setting of Carnot groups.
Section
Articles

Published

2021-12-02

How to Cite

Nguyen, V. H. (2021). Improved critical Hardy inequality and Leray-Trudinger type inequalities in Carnot groups. Annales Fennici Mathematici, 47(1), 121–138. https://doi.org/10.54330/afm.112567