Factorizations and Power Weighted Rellich and Hardy--Rellich-Type Inequalities
Fritz Gesztesy, Michael M. H. Pang, Jake Parmentier, Jonathan Stanfill
TL;DR
This paper revisits and extends various inequalities related to power weighted Rellich and Hardy--Rellich inequalities, including an inequality originally proposed by Schmincke, providing new insights and generalizations.
Contribution
The paper introduces new extensions and generalizations of power weighted Rellich and Hardy--Rellich inequalities, including a novel inequality related to Schmincke's work.
Findings
Extended the class of Rellich and Hardy--Rellich inequalities.
Provided new proofs and generalizations for existing inequalities.
Connected inequalities to broader mathematical frameworks.
Abstract
We revisit and extend a variety of inequalities related to power weighted Rellich and Hardy--Rellich inequalities, including an inequality due to Schmincke.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research