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arXiv · 1609.02895

Bellman functions and $L^p$ estimates for paraproducts

Vjekoslav Kovač·Kristina Ana Škreb
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Abstract

We give an explicit formula for one possible Bellman function associated with the $L^p$ 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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Vjekoslav Kovač, Kristina Ana Škreb. 2017-06-26. Bellman functions and $L^p$ estimates for paraproducts. https://doi.org/10.19195/0208-4147.38.2.11

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