Hardy's Inequality from a Logarithmic Caccioppoli Estimate
Peter Lindqvist, Juan Manfredi
TL;DR
This paper presents a straightforward proof of Hardy's inequality utilizing a logarithmic Caccioppoli estimate for p-superharmonic functions across multiple variables.
Contribution
It introduces a novel proof technique for Hardy's inequality based on logarithmic Caccioppoli estimates, simplifying previous approaches.
Findings
Simplified proof of Hardy's inequality
Application of logarithmic Caccioppoli estimate to p-superharmonic functions
Extension to multiple variables
Abstract
We give a simple proof of Hardy's inequality, based on the logarithmic Caccioppoli estimate for p-superharmonic functions in several variables.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Harmonic Analysis Research · Holomorphic and Operator Theory · Advanced Banach Space Theory