Weighted estimates for the multisublinear maximal function |
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Authors: | Wei Chen Wendolín Damián |
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Institution: | 1. School of Mathematical Sciences, Yangzhou University, Yangzhou, 225002, China 2. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, 41080, Seville, Spain
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Abstract: | A formulation of the Carleson embedding theorem in the multilinear setting is proved which allows obtaining a multilinear analogue of Sawyer’s two weight theorem for the multisublinear maximal function $\mathcal{M }$ introduced by Lerner et al. (Adv Math 220:1222–1264, 2009). A multilinear version of the $B_p$ theorem from Hytönen and Pérez (Anal PDE, 2013) is also obtained and a mixed $A_{\overrightarrow{ P}}-W_{\overrightarrow{ P}}^{\infty }$ bound for $\mathcal{M }$ is proved as well. |
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