Weighted inequalities for some integral operators with rough kernels,

M.S. RIVEROS, M. URCIUOLO

Open Mathematics

The Gruyter

Lugar: Warsaw, Poland; Año: 2014 vol. 12 p. 636 - 647

In this paper we study integral operators with kernels $$K(x,y)= k_1( x- A_1y)...k_m( x-A_my),$$ $k_i(x)=rac{Omega_i(x)}{|x|^{n/q_i}}$ where $Omega_i: mathbb{R}^no mathbb{R}$ are homogeneous functions of degree zero, satisfying a size and a Dini condition, $A_{i}$ are certain invertible matrices, and $rac n{q_1}+dotsrac n{q_m}=n-alpha,$ $0leq alpha