English

Conditional Square Functions, the Sine-Cosine Decomposition for Hardy Martingales and Dyadic Perturbation

Functional Analysis 2016-11-09 v1

Abstract

We prove that the P\cal P norm estimate between a Hardy martingale and its cosine part are stable under dyadic perturbations, and show how dyadic stability of the P\cal P norm estimate is used in the proof that L1L^1 embeds into L1/H1L^1/H^1.

Keywords

Cite

@article{arxiv.1611.02653,
  title  = {Conditional Square Functions, the Sine-Cosine Decomposition for Hardy Martingales and Dyadic Perturbation},
  author = {Paul F. X. Müller},
  journal= {arXiv preprint arXiv:1611.02653},
  year   = {2016}
}

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8 pages