Hardy operator
= Hardy operator
{c}
{title2=$Au(x)=x^{-1}\int_0^xu(t)\,dt$}
The Hardy operator is the averaging operator
$$
Au(x)=\frac1x\int_0^xu(t)\,dt
$$
on functions over the positive half-line or an interval beginning at zero.
= Hardy operator
{c}
{title2=$Au(x)=x^{-1}\int_0^xu(t)\,dt$}
The Hardy operator is the averaging operator
$$
Au(x)=\frac1x\int_0^xu(t)\,dt
$$
on functions over the positive half-line or an interval beginning at zero.