Weighted estimates for the multilinear maximal function

Abstract

A formulation of the Carleson embedding theorem in the multilinear setting is proved which allows to obtain a multilinear analogue of Sawyer's two weight theorem for the multisublinear maximal function \mathcal{M} introduced in Lerner et al. A multilinear version of the B_p theorem from Hytönen and Pérez is also obtained and a mixed A_{\vec{P}}-W_{\vec{P}}^{\infty} bound for \mathcal{M} is proved as well.

14 pages, to appear in Rend.Circ.Mat.Palermo The final publication will be available at http://link.springer.com

References in corpus (2)

• Sharp Reverse Hölder property for A_\infty weights on spaces of homogeneous type
• Weighted norm inequalities for multisublinear maximal operator in martingale spaces

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• Characterization of a Two Weight Inequality for Multilinear Fractional Maximal Operators
• Weighted bounds for multilinear operators with non-smooth kernels
• Weighted estimates for the bilinear maximal operator on filtered measure spaces
• Holder's inequalities involving the infinite product and their applications in martingale spaces
• Weighted estimates for the multilinear maximal function on the upper half-spaces
• Weak and strong type estimates for the multilinear Littlewood-Paley operators
• Weighted norm inequalities for multisublinear maximal operator in martingale spaces
• Weighted inequlities for a generalized dyadic maximal operator involving the infinite product