Factrorization of operators with $G_\alpha^\alpha(\mathbb {R}_+^d)$ and $g_\alpha^\alpha(\mathbb{R}_+^d)$ kernels

Smiljana Jakšić, Snježana Maksimović

The aim of this paper is to prove that any linear operator with kernel in the spaces $G_\al^\al(\R_+^d)$, $\alpha\geq 1$ and $g_\al^\al(\R_+^d)$, $\alpha> 1$ is a composition of two operators in the same space.