3 problems

The optimal distance conjecture. For every nonnegative, nonincreasing function $f$,

For $m\in\mathbb{N}$, define the generalized Hardy operator on locally integrable functions by … It acts on $L^p([0,\infty))$, where $1<p<\infty$. The associated operator is…

The paper considers the Hardy operator $\mathcal{H}$ acting on the function spaces appearing in Corollaries 1 and 2, whose definitions in the source impose radiality. Radiality-rem…