English

A new type of superorthogonality

Classical Analysis and ODEs 2025-01-24 v1

Abstract

We provide a simple criterion on a family of functions that implies a square function estimate on LpL^p for every even integer p2p \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.

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Cite

@article{arxiv.2212.08956,
  title  = {A new type of superorthogonality},
  author = {Philip T. Gressman and Lillian B. Pierce and Joris Roos and Po-Lam Yung},
  journal= {arXiv preprint arXiv:2212.08956},
  year   = {2025}
}

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12 pages