Geodesic
Improved critical Hardy inequality and Leray-Trudinger type inequalities in Carnot groups
Van Hoang Nguyen1
1 FPT University, Department of Mathematics
Annales Fennici Mathematici, Tome 47 (2022) no. 1, pp. 121-138 Cet article a éte moissonné depuis la source Journal.fi

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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.
DOI : 10.54330/afm.112567
Keywords: Improved critical Hardy inequality, Leray-Trudinger inequality, Carnot groups

Van Hoang Nguyen 1

1 FPT University, Department of Mathematics 
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Van Hoang Nguyen. Improved critical Hardy inequality and Leray-Trudinger type inequalities in Carnot groups. Annales Fennici Mathematici, Tome 47 (2022) no. 1, pp. 121-138. doi: 10.54330/afm.112567

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