Philip T. Gressman, Lillian B. Pierce, Joris Roos, Po-Lam Yung
Published 2022-12-17Version 1
We provide a simple criterion on a family of functions that implies a square function estimate on $L^p$ for every even integer $p \geq 2$. 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.
Note about square function estimates and uniformly rectifiable measures
On superorthogonality
On Type IV Superorthogonality
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