Dimension independent atomic decoposition for dyadic martingale $H^1$
| Autor: | Paluszynski, Maciej, Zienkiewicz, Jacek |
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| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We introduce atoms for dyadic atomic $H^1$ for which the equivalence between atomic and maximal function defnitions is dimension independent. We give the sharp, up to $\log(d)$ factor, estimates for the $H^1 \to L^1$ norm estimates for the special maximal function. |
| Databáze: | arXiv |
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