Título inglés | Why the Riesz transforms are averages of the dyadic shifts? |
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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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