On Bilinear Hardy Inequality and Corresponding Geometric Mean Inequality

Abstract

The main aim of this paper to provide several scales of equivalent conditions for the bilinear Hardy inequalities in the case $1<q,p_1,p_2<\infty$ with $q\ge \max (p_1,p_2)$.

References in corpus (3)

• On the properties of quasi-Banach function spaces
• Lorentz--Karamata spaces
• Reduction principle for a certain class of kernel-type operators

Cited by in corpus (4)

• On the smoothness of slowly varying functions
• On the properties of rearrangement-invariant quasi-Banach function spaces
• Non-improvability of sharp endpoint estimates
• Potential trace inequalities via a Calderón-type theorem