Weighted Hardy-Type Operators on Nonincreasing Cones.

In this paper, we obtain characterizations of the boundedness of multivariate weighted Hardy-type operators on monotone functions. We also study properties of the weight functions u on ℝ + n satisfying the condition B p ϕ → (ℝ + n) , which is an extension of the well-known conditions Bp and B p (ℝ + n) . Finally, we give simpler characterizations of the boundedness of Hardy-type operators when the weight u admits the separation of variables. [ABSTRACT FROM AUTHOR]