Lebesgue bounds for multilinear spherical and lacunary maximal averages

Xinyu Gao

We establish $L^{p_1}({\mathbb{R}}^d)\times \cdots \times L^{p_n}({\mathbb{R}}^d)\to L^r({\mathbb{R}}^d)$ bounds for spherical averaging operators ${\mathcal{A}}^n$ in dimensions $d…