Kufner A., Maligranda L., Persson L.-E. The Hardy Inequality: About Its History and Some Related Results

Pilsen: Vidavatelsky Servis, 2007. — 163 p.Abstract
Introduction
Notation and terminology. A short survey
The classical Hardy inequality
The Hardy inequality in weighted Lp-spaces
The Hardy inequality between weighted Lp — Lq spaces
Weighted Hardy type inequalities for sequences
Compactness of the Hardy operator and spectral problems connected to the Hardy operator
Multidimensional weighted Hardy inequalities for functions and sequences
Further generalizations and related results
Weighted weak type Hardy inequalities
Weighted inequalities for Hardy-Volterra integral operators
Higher order Hardy inequalities
Fractional order Hardy inequalities
A limiting case of Hardy inequality for functions and sequences
Convexity and classical Hardy inequality. Hardy inequality for general means
The weighted Hardy inequality for monotone functions and sequences
The Hardy inequality in Banach function spaces
The Hardy inequality in Orlicz spaces
The Hardy inequality in Lorentz spaces
The Hardy inequality in rearrangement invariant spaces
The Hardy inequality in general Banach function spaces
References
Appendix. The Prehistory of the Hardy Inequality