副积的Bellman函数和L^p估计

Pub Date : 2016-09-09 DOI:10.19195/0208-4147.38.2.11

Vjekoslav Kovavc, K. vSkreb

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引用次数: 5

摘要

对于双线性或三线性形式的并矢副积的Lp有界性，给出了一个可能的Bellman函数的显式公式。然后，我们将相同的Bellman函数应用于各种其他设置，给出几个经典算子估计的自包含替代证明。这些包括Bañuelos和Bennett的鞅副积以及关于热流的副积。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Bellman functions and L^p estimates for paraproducts

We give an explicit formula for one possible Bellman function associated with the Lp boundedness of dyadic paraproducts regarded as bilinear operators or trilinear forms. Then we apply the same Bellman function in various other settings, to give self-contained alternative proofs of the estimates for several classical operators. These include the martingale paraproducts of Bañuelos and Bennett and the paraproducts with respect to the heat flows.

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