English

A note on Carleson sets and Carleson windows

Complex Variables 2024-01-29 v1

Abstract

Let D\Bbb D be the open unit disk in the complex plane. In this note, for the Carleson set S(b,h)S(b,h) and the Carleson window W(b,h)W(b,h) which are particular subsets of D\Bbb D, we find conditions on hh under which we have W(b,h/c)S(b,h)W(b,ch)W(b,h/c)\subset S(b,h)\subset W(b,ch) for some c>1c>1.

Cite

@article{arxiv.2401.14415,
  title  = {A note on Carleson sets and Carleson windows},
  author = {Mohammad Ansari},
  journal= {arXiv preprint arXiv:2401.14415},
  year   = {2024}
}
R2 v1 2026-06-28T14:27:27.303Z