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arXiv · 2108.10621

Dimension independent atomic decoposition for dyadic martingale $H^1$

Maciej Paluszynski·Jacek Zienkiewicz
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Abstract

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.

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BibTeXRIS

Maciej Paluszynski, Jacek Zienkiewicz. 2021-08-24. Dimension independent atomic decoposition for dyadic martingale $H^1$. https://arxiv.org/abs/2108.10621

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