2 papers
math.FA2025
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…
math.FA2024
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…