A note on Carleson sets and Carleson windows
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909083052802048 |
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| author | Ansari, Mohammad |
| author_facet | Ansari, Mohammad |
| contents | 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 $c>1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_14415 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on Carleson sets and Carleson windows Ansari, Mohammad Complex Variables 51M04 (Primary) 97I80 (Secondary) 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 $c>1$. |
| title | A note on Carleson sets and Carleson windows |
| topic | Complex Variables 51M04 (Primary) 97I80 (Secondary) |
| url | https://arxiv.org/abs/2401.14415 |