Orlicz-Lorentz Gauge Functional Inequalities for Positive Integral Operators. Revised Version

Susanna Spektor, Ron Kerman

Let $f\in M_{+}({\mathbb{R}}_{+})$, the class of nonnegative, Lebesgure-measurable functions on ${\mathbb{R}}_{+}=(0,\infty )$. We deal with integral operators of the form \[ (T_Kf)(x)=\int_{\R_+}K(x,y)f(y…