Bellman functions and L^p estimates for paraproducts (CROSBI ID 241372)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Kovač, Vjekoslav ; Škreb, Kristina Ana
engleski
Bellman functions and L^p estimates for paraproducts
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.
Bellman function ; martingale ; paraproduct
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Podaci o izdanju
38 (2)
2018.
459-479
objavljeno
0208-4147
10.19195/0208-4147.38.2.11