Why the Riesz transforms are averages of the dyadic shifts?

Título inglés Why the Riesz transforms are averages of the dyadic shifts?
Título español ¿Por qué las transformadas de Riesz son las medias de los desplazamientos diádicos?
Autor/es Petermichl, Stefanie ; Treil, Serguei ; Volberg, Alexander L.
Organización Inst. Adv. Stud., Princeton (New Jersey), Estados Unidos;Dep. Math. Brown Univ., Providence (Rhode Island), Estados Unidos;Dep. Math. Michigan State Univ., East Lansing (Michigan), Estados Unidos;Equ. Anal. Univ. Paris VI, París, Francia
Revista 0214-1493
Publicación 2002, 46 (Extra): 209-228, 24 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés The first author showed in [18] that the Hilbert transform lies in the closed convex hull of dyadic singular operators - so called dyadic shifts. We show here that the same is true in any Rn - the Riesz transforms can be obtained as the results of averaging of dyadic shifts. The goal of this paper is almost entirely methodological: we simplify the previous approach, rather than presenting the new one.

[Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Madrid), 2002].
Código MathReviews MR1964822
Código Z-Math Zbl 1031.47021
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