On Weighted Hardy-Type Inequalities
Chian Yeong Chuah, Fritz Gesztesy, Lance L. Littlejohn, Tao Mei, Isaac, Michael, Michael M. H. Pang
TL;DR
This paper revisits weighted Hardy-type inequalities using a straightforward approach to obtain explicit constants and extends the discussion to power weighted Birman-Hardy-Rellich inequalities, including an operator-valued version.
Contribution
It introduces an elementary method for deriving explicit constants in weighted Hardy inequalities and extends these results to operator-valued inequalities.
Findings
Explicit constants for weighted Hardy inequalities derived
Extension to power weighted Birman-Hardy-Rellich inequalities
Operator-valued version of inequalities developed
Abstract
We revisit weighted Hardy-type inequalities employing an elementary ad hoc approach that yields explicit constants. We also discuss the infinite sequence of power weighted Birman-Hardy-Rellich-type inequalities and derive an operator-valued version thereof.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Spectral Theory in Mathematical Physics · Mathematical Approximation and Integration