Estimates for Wainger's singular integrals along curves.
Antonio Córdoba Barba, José L. Rubio de Francia (1986)
Revista Matemática Iberoamericana
Similarity:
Displaying similar documents to “The work of José Luis Rubio de Francia (III).”
Estimates for Wainger's singular integrals along curves.
Multiple singular integrals and maximal functions along hypersurfaces
Javier Duoandikoetxea (1986)
Annales de l'institut Fourier
Similarity:
Maximal functions written as convolution with a multiparametric family of positive measures, and singular integrals whose kernel is decomposed as a multiple series of measures, are shown to be bounded in , . The proofs are based on the decomposition of the operators according to the size of the Fourier transform of the measures, assuming some regularity at zero and decay at infinity of these Fourier transforms. Applications are given to homogeneous singular integrals in product spaces...
Fourier analysis in several parameters.
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].
Multilinear singular integrals.
Christoph M. Thiele (2002)
Publicacions Matemàtiques
Similarity:
We survey the theory of multilinear singular integral operators with modulation symmetry. The basic example for this theory is the bilinear Hilbert transform and its multilinear variants. We outline a proof of boundedness of Carleson's operator which shows the close connection of this operator to multilinear singular integrals. We discuss particular multilinear singular integrals which historically arose in the study of eigenfunctions of Schrödinger operators. ...
On pointwise estimates for maximal and singular integral operators
A. Lerner (2000)
Studia Mathematica
Similarity:
We prove two pointwise estimates relating some classical maximal and singular integral operators. In particular, these estimates imply well-known rearrangement inequalities, and BLO-norm inequalities
Examples of singular maximal functions unbounded on L.
Michael Christ (1991)
Publicacions Matemàtiques
Similarity:
Maximal functions and Hilbert transforms associated to polynomials.
Anthony Carbery, Fulvio Ricci, James Wright (1998)
Revista Matemática Iberoamericana
Similarity:
The work of José Luis Rubio de Francia (I).
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.
Directional operators and mixed norms.
Javier Duoandikoetxea (2002)
Publicacions Matemàtiques
Similarity:
We present a survey of mixed norm inequalities for several directional operators, namely, directional Hardy-Littlewood maximal functions and Hilbert transforms (both appearing in the method of rotations of Calderón and Zygmund), X-ray transforms, and directional fractional operators related to Riesz type potentials with variable kernel. In dimensions higher than two several interesting questions remain unanswered. [Proceedings of the 6th International Conference...