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math.AP2017
Limiting case Hardy inequalities on the sphere
Ahmed A. Abdelhakim
We give sharp limiting case Hardy inequalities on the sphere and show that their optimal constants are unattainable by any $f\in H^{1}\left(\mathbb{S}^{2}\right)\s…
math.FA2017
A characterization of a nonlinear integral triangle inequality
Ahmed A. Abdelhakim
Let be a Banach space and let be a Lebesgue measure space. We characterize, for all , measurable functions for which \begin{equ…