Gagliardo-Nirenberg Inequalities in Fractional Coulomb-Sobolev spaces for Radial functions

2024/06/11 by Mallick, Arka, Nguyen, Hoai-Minh
#26A54 #26D10 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2406.06926

Abstract

We extend the range of parameters associated with the Gagliardo-Nirenberg interpolation inequalities in the fractional Coulomb-Sobolev spaces for radial functions. We also study the optimality of this newly extended range of parameters.

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