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30 p, 486.2 KB Weighted estimates for dyadic paraproducts and -Haar multipliers with complexity / Moraes, Jean Carlo ; Pereyra, Mara Cristina
We extend the definitions of dyadic paraproduct and t-Haar multipliers to dyadic operators that depend on the complexity (m; n), for m and n natural numbers. We use the ideas developed by Nazarov and Volberg to prove that the weighted L2(w)-norm of a paraproduct with complexity (m; n), associated to a function b ∈ BMOd, depends linearly on the Ad/2-characteristic of the weight w, linearly on the BMOd-norm of b, and polynomially on the complexity. [...]
The first author was supported by fellowship CAPES/FULBRIGHT, BEX 2918-06/4.

2013 - 10.5565/PUBLMAT_57213_01
Publicacions matemàtiques, Vol. 57, Núm. 2 (2013) , p. 265-294  

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