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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… Click to show full 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 uncertainty principle inequality and another inequality involving the first nonzero eigenvalue of the p -Laplacian on the sphere. Mathematics subject classification (2010): 26D10, 46E30, 53C21.
Keywords:
uncertainty principle;
sharp hardy;
hardy type
Journal Title: Journal of Mathematical Inequalities
Year Published: 2019
Link to full text (if available)
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Journal Title: Journal of Mathematical Inequalities
Year Published: 2019
Link to full text (if available)
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recommendations!