Bellman function technique for multilinear estimates and an application to generalized paraproducts (CROSBI ID 174166)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Kovač, Vjekoslav
engleski
Bellman function technique for multilinear estimates and an application to generalized paraproducts
We prove L^p estimates for a class of two-dimensional multilinear forms that naturally generalize (dyadic variants of) both classical paraproducts and the twisted paraproduct introduced in [5] and studied in [1] and [9]. The method we use builds on the approach from [9] and we present it as a rather general technique for proving estimates on dyadic multilinear operators. In the particular application to "generalized paraproducts" this method is combined with combinatorics of integer partitions.
paraproduct ; multilinear operator ; Bellman function ; integer partition
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Podaci o izdanju
60 (3)
2011.
813-846
objavljeno
0022-2518
1943-5258
10.1512/iumj.2011.60.4784