A new type of superorthogonality

Abstract

We provide a simple criterion on a family of functions that implies a square function estimate on $L^p$ for every even integer $p\ge 2$. This defines a new type of superorthogonality that is verified by checking a less restrictive criterion than any other type of superorthogonality that is currently known.

12 pages

References in corpus (1)

• A non-archimedean variant of Littlewood--Paley theory for curves