Almost-everywhere convergence of Fourier integrals for functions in Sobolev spaces, and an L-localisation principle.
Anthony Carbery, Fernando Soria (1988)
Revista Matemática Iberoamericana
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Displaying similar documents to “The work of José Luis Rubio de Francia (IV).”
Almost-everywhere convergence of Fourier integrals for functions in Sobolev spaces, and an L-localisation principle.
Weighted integral inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series
R. Gundy, R. Wheeden (1974)
Studia Mathematica
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Weighted inequalities for square and maximal functions in the plane
Javier Duoandikoetxea, Adela Moyua (1992)
Studia Mathematica
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We prove weighted inequalities for square functions of Littlewood-Paley type defined from a decomposition of the plane into sectors of lacunary aperture and for the maximal function over a lacunary set of directions. Some applications to multiplier theorems are also given.
The work of José Luis Rubio de Francia (I).
José Luis Torrea (1991)
Publicacions Matemàtiques
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The aim of these pages is to give the reader an idea about the first part of the mathematical life of José Luis Rubio de Francia.
Fourier analysis in several parameters.
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].
Weighted inequalities for the two-dimensional Hardy operator
E. Sawyer (1985)
Studia Mathematica
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A note on multipliers on a Segal algebra
K. Unni (1974)
Studia Mathematica
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A remark on Fefferman-Stein's inequalities.
Y. Rakotondratsimba (1998)
Collectanea Mathematica
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It is proved that, for some reverse doubling weight functions, the related operator which appears in the Fefferman Stein's inequality can be taken smaller than those operators for which such an inequality is known to be true.
Variants of the Calderón-Zygmund theory for L-spaces.
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...