A framework for discrete bilinear spherical averages and applications to $\ell ^p$-improving estimates
Volume 175 / 2024
Colloquium Mathematicum 175 (2024), 55-76
MSC: Primary 42B25; Secondary 47A07
DOI: 10.4064/cm9216-1-2024
Published online: 4 February 2024
Abstract
We decompose the discrete bilinear spherical averaging operator into simpler operators in several ways. This leads to a wide array of extensions, such as to the simplex averaging operator, and applications, such as to operator bounds.
