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2395. Hardy inequalities via Riccati pairs
Contributed abstract in session TA-41: Optimization on Geodesic Metric Spaces II: Nonsmooth case, stream Optimization on Geodesic Metric Spaces: Smooth and Nonsmooth.
Tuesday, 8:30-10:00Room: 97 (building: 306)
Authors (first author is the speaker)
1. | Sándor Kajántó
|
Babeș-Bolyai University |
Abstract
We present a simple approach for proving Hardy inequalities on Riemannian manifolds, with sectional curvature bounded from above. By using simple convexity arguments and divergence/comparison theorems, we show that the validity of these inequalities reduces to the solvability of corresponding Riccati-type differential inequalities. Since the proofs omit symmetrizations, the method allows for broad applicability: inequalities formulated on model space forms naturally extend to manifolds with smaller sectional curvature.
Keywords
- Non-smooth Optimization
Status: accepted
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