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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… Click to show full 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 theory, geometry, and partial differential equations. For this line of research, we refer to [4–6] and the references therein. In the case of Riemannian manifolds, there are also many valuable research (see [4, 7] and so on) in Hardy inequality. Carron [8] studied the weighted L2-Hardy inequalities under several geometric assumptions. More specifically, he proved that
Journal Title: Scienceasia
Year Published: 2020
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