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Bellman function technique for multilinear estimates and an application to generalized paraproducts (CROSBI ID 174166)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Kovač, Vjekoslav Bellman function technique for multilinear estimates and an application to generalized paraproducts // Indiana university mathematics journal, 60 (2011), 3; 813-846. doi: 10.1512/iumj.2011.60.4784

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

Povezanost rada

Matematika

Poveznice
Indeksiranost