Multilinear Spherical Maximal Function

2019/11/11 by Dosidis, Georgios · 1 citation
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1911.04071

Abstract

In dimensions n≥ 2 we obtain L^p₁(\mathbb Rⁿ) ×…× L^p_m(\mathbb Rⁿ) to L^p(\mathbb Rⁿ) boundedness for the multilinear spherical maximal function in the largest possible open set of indices and we provide counterexamples that indicate the optimality of our results. Moreover, we obtain weak type and Lorentz space estimates as well as counterexamples in the endpoint cases.

Cited by

• Bilinear spherical maximal function with fractal dilations

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