Vector-valued Calderón-Zygmund theory and Carleson measures on spaces of homogeneous nature
Francisco Ruiz, José Torrea (1988)
Studia Mathematica
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Francisco Ruiz, José Torrea (1988)
Studia Mathematica
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Robert Fefferman (1986)
Revista Matemática Iberoamericana
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Clearly, one of the most basic contributions to the fields of real variables, partial differential equations and Fourier analysis in recent times has been the celebrated theorem of Calderón and Zygmund on the boundedness of singular integrals on R [1].
José Rubio de Francia (1985)
Studia Mathematica
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Javier Duoandikoetxea (1991)
Publicacions Matemàtiques
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The aim of this paper is to review a set of articles ([6], [10], [11], [13], [16], [25]) of which José Luis Rubio de Francia was author and co-author written between 1985 and 1987.
José L. Rubio de Francia (1985)
Revista Matemática Iberoamericana
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Anthony Carbery (1986)
Revista Matemática Iberoamericana
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The purposes of this paper may be described as follows: (i) to provide a useful substitute for the Cotlar-Stein lemma for Lp-spaces (the orthogonality conditions are replaced by certain fairly weak smoothness asumptions); (ii) to investigate the gap between the Hörmander multiplier theorem and the Littman-McCarthy-Rivière example - just how little regularity is really needed? (iii) to simplify and extend the work of Duoandikoetxea...
Luz M. Fernández-Cabrera, José L. Torrea (1993)
Publicacions Matemàtiques
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This paper deals with the following problem: Let T be a given operator. Find conditions on v(x) (resp. u(x)) such that ∫ |Tf(x)|pu(x) dx ≤ C ∫ |f(x)|pv(x) dx is satisfied for some u(x) (resp. v(x)). Using vector-valued inequalities the problem is solved for: Carleson's maximal operator of Fourier partial sums, Littlewood-Paley square functions, Hilbert transform of functions...
Carlos Segovia, José L. Torrea (1991)
Publicacions Matemàtiques
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Robert Fefferman (1985)
Revista Matemática Iberoamericana
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Anthony Carbery, Fernando Soria (1988)
Revista Matemática Iberoamericana
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