English

The dyadic Riesz vector I

Functional Analysis 2023-09-07 v1 Probability

Abstract

We derive a dyadic model operator for the Riesz vector. We show linear lower LpL^p bounds for 1<p<1 < p < \infty between this model operator and the Riesz vector, when applied to functions with values in Banach spaces. By a lower bound we mean that the boundedness of the Riesz vector implies the boundedness of the dydic Riesz vector.

Keywords

Cite

@article{arxiv.2309.02802,
  title  = {The dyadic Riesz vector I},
  author = {Komla Domelevo and Stefanie Petermichl},
  journal= {arXiv preprint arXiv:2309.02802},
  year   = {2023}
}

Comments

This is part I of II

R2 v1 2026-06-28T12:13:58.820Z