Note on norms of two integral-type operators on some spaces of functions on ℝn

Abstract

We consider two integral-type operators, generalizing several classical ones, and calculate their norms on the weighted Lebesgue space (Formula presented.), when p ≥ 1, α > −n, weighted-type space (Formula presented.), when α > 0, and (Formula presented.) space, p ≥ 1, extending and complementing some results in the literature.