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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, 8:30-10:00
Room: 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

Status: accepted


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