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Fourier analysis and optimal Hardy–Adams inequalities on hyperbolic spaces of any even dimension

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0 Published in 2018 at "Advances in Mathematics"

DOI: 10.1016/j.aim.2018.05.035

Abstract: Abstract Recently, the second and third authors established the sharp Hardy–Adams inequalities of second order derivatives with the best constants on the hyperbolic space B 4 of dimension four ( [40] , Adv. Math. (2017)).… read more here.

Keywords: hyperbolic spaces; sharp hardy; hardy adams; even dimension ... See more keywords

Sharp Hardy inequalities on the solid torus

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2 Published in 2017 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2016.11.042

Abstract: Abstract In this paper, we establish the classical Hardy inequality in the solid torus and some variants of it. The general idea is to use the fact that Sobolev embeddings can be improved in the… read more here.

Keywords: inequalities solid; sharp hardy; torus; solid torus ... See more keywords

A sharp Lp-Hardy type inequality on the n-sphere

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1 Published in 2020 at "Scienceasia"

DOI: 10.2306/scienceasia1513-1874.2020.090

Abstract: where the constant ( n−p p ) p is sharp. This inequality has been studied extensively in the Euclidean spaces (see [1–3]) due to its applications in different fields such as harmonic analysis, physics, spectral… read more here.

Keywords: type inequality; inequality sphere; geometry; sharp hardy ... See more keywords

Sharp L^p Hardy type and uncertainty principle inequalities on the sphere

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1 Published in 2019 at "Journal of Mathematical Inequalities"

DOI: 10.7153/jmi-2019-13-72

Abstract: This paper studies Lp version of the Hardy type inequalities on the geodesic sphere of constant sectional curvature and establishes that the corresponding constant is sharp. Furthermore, the inequalities obtained are used to derive an… read more here.

Keywords: uncertainty principle; sharp hardy; hardy type;