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Artículo
Minimal regularity conditions for the end-point estimate of bilinear Calderón-Zygmund operators
(American Mathematical Society, 2014-01-09)
Minimal regularity conditions on the kernels of bilinear operators are identi- fied and shown to be sufficient for the existence of end-point estimates within the context of the bilinear Calderón-Zygmund theory.
Artículo
End-point estimates for iterated commutators of multilinear singular integrals
(London Mathematical Society, 2014-02)
Iterated commutators of multilinear Calder´on-Zygmund operators and pointwise multiplication with functions in BMO are studied in products of Lebesgue spaces. Both strong type and weak end-point estimates are obtained, ...
Tesis Doctoral
Weighted inequalities and multiparameter harmonic analysis
(2014-04-30)
El tema central de esta tesis es el estudio de desigualdades con pesos para algunos de los operadores clásicos del análisis armónico. De entre estos operadores, los que más nos interesan, son aquellos que son invariantes ...
Artículo
Sharp weighted estimates for dyadic shifts and the A2 conjecture
(De Gruyter, 2014-02)
We give a self-contained proof of the A2 conjecture, which claims that the norm of any Calderón–Zygmund operator is bounded by the first degree of the A2 norm of the weight. The original proof of this result by the first ...