English

On systems of non-overlapping Haar polynomials

Classical Analysis and ODEs 2022-06-03 v1

Abstract

We prove that logn\log n is an almost everywhere convergence Weyl multiplier for the orthonormal systems of non-overlapping Haar polynomials. Moreover, it is done for the general systems of martingale difference polynomials.

Keywords

Cite

@article{arxiv.1901.09949,
  title  = {On systems of non-overlapping Haar polynomials},
  author = {Grigori A. Karagulyan},
  journal= {arXiv preprint arXiv:1901.09949},
  year   = {2022}
}

Comments

9 pages

R2 v1 2026-06-23T07:24:42.149Z