Dyadic paraproduct - Resultados de la búsqueda - Depósito Digital de Documentos de la UAB

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Artículos, Encontrados 3 registros

Artículos	Encontrados 3 registros

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 - DOI (Digital Object Identifier)

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

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25 p, 208.9 KB

Weighted inequalities for multivariable dyadic paraproducts / Chung, Daewon (University of New Mexico. Department of Mathematics and Statistics)
Using Wilson's Haar basis in Rn, which is different than the usual tensor product Haar functions, we define its associated dyadic paraproduct in Rn. We can then extend "trivially" Beznosova's Bellman function proof of the linear bound in L2(w) with respect to [w]A2 for the 1-dimensional dyadic paraproduct. [...]
2011 - DOI (Digital Object Identifier)

10.5565/PUBLMAT_55211_10
Publicacions matemàtiques, Vol. 55, Núm. 2 (2011) , p. 475-499

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19 p, 191.4 KB

Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces / Dragicevic, Oliver ; Grafakos, Loukas ; Pereyra, María Cristina ; Petermichl, Stefanie
We obtain sharp weighted Lp estimates in the Rubio de Francia extrapolation theorem in terms of the Ap characteristic constant of the weight. Precisely, if for a given 1 < r < [infinity] the norm of a sublinear operator on Lr(w) is bounded by a function of the Ar characteristic constant of the weight w, then for p > r it is bounded on Lp(v) by the same increasing function of the Ap characteristic constant of v, and for p < r it is bounded on Lp(v) by the same increasing function of the r-1/p-1 power of the Ap characteristic constant of v. [...]
2005 - DOI (Digital Object Identifier)

10.5565/PUBLMAT_49105_03
Publicacions matemàtiques, V. 49 N. 1 (2005) , p. 73-91

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