An Interesting Class of Operators with unusual Schatten-von Neumann behavior

A. B. Aleksandrov, S. Janson, V. V. Peller +1

We consider the class of integral operators $Q_\f$ on $L^2({\mathbb{R}}_{+})$ of the form $(Q_\f f)(x)=\int_0^\be\f (\max\{x,y\})f(y)dy$. We discuss necessary and sufficient conditions on $\varphi$…