A note on Carleson sets and Carleson windows

Mohammad Ansari

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arXiv · 2401.14415

A note on Carleson sets and Carleson windows

Mohammad Ansari

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Abstract

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

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Mohammad Ansari. 2024-01-21. A note on Carleson sets and Carleson windows. https://arxiv.org/abs/2401.14415

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