Necessary condition on the weight for maximal and integral operators with rough kernels

Gonzalo H. Ibañez-Firnkorn, María Silvina Riveros, Raúl E. Vidal

Let $0\le \alpha <n$, $m\in \mathbb{N}$ and let consider $T_{\alpha ,m}$ be a of integral operator, given by kernel of the form $$K(x,y)=k_1(x-A_{1}y)k_2(x-A_{2}y)\dots k_m(x-A_{m}y),$$ where $A_i$…