Discrete multilinear spherical averages

Abstract

In this note we give a characterization of ${\ell }^p\times ...\times {\ell }^p\to {\ell }^q$ boundedness of maximal operators associated to multilinear convolution averages over spheres in ${\mathbb{Z}}^n$.

References in corpus (1)

• Discrete Fourier restriction via efficient congruencing: basic principles

Cited by in corpus (1)

• Bounds for discrete multilinear spherical maximal functions in higher dimensions