English

Power-type cancellation for the simplex Hilbert transform

Classical Analysis and ODEs 2020-01-10 v2

Abstract

We prove Lp\mathrm{L}^p bounds for the truncated simplex Hilbert transform which grow with a power less than one of the truncation range in the logarithmic scale.

Keywords

Cite

@article{arxiv.1608.00156,
  title  = {Power-type cancellation for the simplex Hilbert transform},
  author = {Polona Durcik and Vjekoslav Kovač and Christoph Thiele},
  journal= {arXiv preprint arXiv:1608.00156},
  year   = {2020}
}

Comments

11 pages, 3 figures; v2: minor corrections, accepted for publication in J. Anal. Math

R2 v1 2026-06-22T15:08:26.675Z