Weighted Inequalities for Multilinear Fractional Integral Operators.

Kabe Moen

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Weighted inequalities for Hardy-type operators involving suprema.

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Rough Marcinkiewicz integral operators on product spaces.

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In this paper, we study the Marcinkiewicz integral operators M on the product space R x R. We prove that M is bounded on L(R x R) (1< p < ∞) provided that h is a bounded radial function and Ω is a function in certain block space B (S x S) for some q > 1. We also establish the optimality of our condition in the sense that the space B (S x S) cannot be replaced by B (S x S) for any −1 < r < 0. Our results...