English

A note on martingale Hardy spaces

Classical Analysis and ODEs 2015-02-16 v3

Abstract

We investigate the relation between Carleson sequence and balayage, and use this to give an easy proof of the equivalence of the L1-norms of the maximal function and the square function in non-honogeneous martingale settings.

Keywords

Cite

@article{arxiv.1411.5407,
  title  = {A note on martingale Hardy spaces},
  author = {Jingguo Lai},
  journal= {arXiv preprint arXiv:1411.5407},
  year   = {2015}
}

Comments

12 pages, comments are welcomed!

R2 v1 2026-06-22T07:05:18.680Z