Almost-everywhere convergence of Fourier integrals for functions in Sobolev spaces, and an L-localisation principle.
Anthony Carbery, Fernando Soria (1988)
Revista Matemática Iberoamericana
Similarity:
Anthony Carbery, Fernando Soria (1988)
Revista Matemática Iberoamericana
Similarity:
R. Gundy, R. Wheeden (1974)
Studia Mathematica
Similarity:
Javier Duoandikoetxea, Adela Moyua (1992)
Studia Mathematica
Similarity:
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.
José Luis Torrea (1991)
Publicacions Matemàtiques
Similarity:
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.
Robert Fefferman (1986)
Revista Matemática Iberoamericana
Similarity:
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].
E. Sawyer (1985)
Studia Mathematica
Similarity:
K. Unni (1974)
Studia Mathematica
Similarity:
Y. Rakotondratsimba (1998)
Collectanea Mathematica
Similarity:
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.
Anthony Carbery (1986)
Revista Matemática Iberoamericana
Similarity:
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...