Bellman functions and L^p estimates for paraproducts

  1. Vjekoslav Kovač
  2. Kristina Ana Škreb

Abstract

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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Probability and Mathematical Statistics

38, z. 2, 2018

Pages from 459 to 479

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