A new type of superorthogonality
Philip T. Gressman, Lillian B. Pierce, Joris Roos, Po‐Lam Yung · Proceedings of the American Mathematical Society · 2023
We provide a simple criterion on a family of functions that implies a square function estimate on L p L^p for every even integer p ≥ 2 p \geq 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.