7 citations · 7 across the 3 of their papers we have counts for
4 papers · 1 filter
Best bounds for the dual Hardy operator minus identity on decreasing functions
Achraf Ben Said, Gord Sinnamon
The distance from the identity operator to , the dual of the Hardy averaging operator, is studied on the cone of nonnegative, nonincreasing functions in Lebesgue space. Th…
A Christ-Kiselev maximal theorem in quasi-Banach function lattices
Mieczysław Mastyło, Gord Sinnamon
A Christ-Kiselev maximal theorem is proved for linear operators between quasi-Banach function lattices satisfying certain lattice geometrical conditions. The result is further expl…
Core Decreasing Functions
Alejandro Santacruz Hidalgo, Gord Sinnamon
Given a measure space and a totally ordered ordered collection of measurable sets, called an ordered core, the notion of a core decreasing function is introduced and used to define…
Revisiting a sharpened version of Hadamard's determinant inequality
Minghua Lin, Gord Sinnamon
Hadamard's determinant inequality was refined and generalized by Zhang and Yang in [Acta Math. Appl. Sinica 20 (1997) 269-274]. Some special cases of the result were rediscovered r…