José García-Cuerva - Academia.edu (original) (raw)
Uploads
Papers by José García-Cuerva
Proceedings of the American Mathematical Society, Mar 1, 1983
Bookmarks Related papers MentionsView impact
Indiana University Mathematics Journal, 1991
Bookmarks Related papers MentionsView impact
Uspehi matematičeskih nauk, 1998
Bookmarks Related papers MentionsView impact
Proceedings of the American Mathematical Society, Feb 1, 1995
We study necessary conditions on the weight w for the spline wavelet systems to be bases in the w... more We study necessary conditions on the weight w for the spline wavelet systems to be bases in the weighted space LP (w) . In this article we study some questions arising in the investigation of the prob- lem of describing those classes of weight functions w for which the wavelet systems are bases or unconditional bases in the weighted spaces LP (w) = LP(R, w). A priori these conditions depend on the concrete system. But there are some features which are common to all wavelet systems. Here we examine only the case of spline wavelet systems defined on the real line R. For a given non-negative integer m, the spline wavelets are defined in the following way: Let V0 = {f E L2(R) n Cm-l(R) such that the restriction of f to each interval )n, n + 1 ( is a polynomial of degree < m}, where by C (R) we denote the class of functions on R whose derivatives of order r are continuous and by C-' (R) we denote the class of piecewise continuous functions on R. Defining Vj+j = {f(2x) : f(x) E Vj} , we get a multiscale analysis of L2(R) in the sense of Mallat and Meyer (see (M), (D)).
Bookmarks Related papers MentionsView impact
Bookmarks Related papers MentionsView impact
Collectanea Mathematica
Bookmarks Related papers MentionsView impact
Tesis doctoral inédita. Universidad Autónoma de Madrid, Facultad de Ciencias, Departamento de Mat... more Tesis doctoral inédita. Universidad Autónoma de Madrid, Facultad de Ciencias, Departamento de Matemáticas, Fecha de lectura: 25-05-2001
Bookmarks Related papers MentionsView impact
Bookmarks Related papers MentionsView impact
Publicacions Matematiques
I am going to discuss the work José Luis Rubio did on weighted norm inequalities. Most of it is i... more I am going to discuss the work José Luis Rubio did on weighted norm inequalities. Most of it is in the book we wrote together on the subject [12].
Bookmarks Related papers MentionsView impact
Tesis doctoral inédita. Universidad Autónoma de Madrid, Facultad de Ciencias, Departamento de Mat... more Tesis doctoral inédita. Universidad Autónoma de Madrid, Facultad de Ciencias, Departamento de Matemáticas. Fecha de lectura: 30-6-94
Bookmarks Related papers MentionsView impact
Journal of Fourier Analysis and Applications
Bookmarks Related papers MentionsView impact
Bookmarks Related papers MentionsView impact
Bulletin of the American Mathematical Society, 1976
Bookmarks Related papers MentionsView impact
The Journal of Fourier Analysis and Applications, 2001
Bookmarks Related papers MentionsView impact
Bookmarks Related papers MentionsView impact
Bookmarks Related papers MentionsView impact
Bookmarks Related papers MentionsView impact
Journal of Geometric Analysis, 2001
Bookmarks Related papers MentionsView impact
Studia Mathematica, 1994
Bookmarks Related papers MentionsView impact
Russian Mathematical Surveys, 1998
Bookmarks Related papers MentionsView impact
Proceedings of the American Mathematical Society, Mar 1, 1983
Bookmarks Related papers MentionsView impact
Indiana University Mathematics Journal, 1991
Bookmarks Related papers MentionsView impact
Uspehi matematičeskih nauk, 1998
Bookmarks Related papers MentionsView impact
Proceedings of the American Mathematical Society, Feb 1, 1995
We study necessary conditions on the weight w for the spline wavelet systems to be bases in the w... more We study necessary conditions on the weight w for the spline wavelet systems to be bases in the weighted space LP (w) . In this article we study some questions arising in the investigation of the prob- lem of describing those classes of weight functions w for which the wavelet systems are bases or unconditional bases in the weighted spaces LP (w) = LP(R, w). A priori these conditions depend on the concrete system. But there are some features which are common to all wavelet systems. Here we examine only the case of spline wavelet systems defined on the real line R. For a given non-negative integer m, the spline wavelets are defined in the following way: Let V0 = {f E L2(R) n Cm-l(R) such that the restriction of f to each interval )n, n + 1 ( is a polynomial of degree < m}, where by C (R) we denote the class of functions on R whose derivatives of order r are continuous and by C-' (R) we denote the class of piecewise continuous functions on R. Defining Vj+j = {f(2x) : f(x) E Vj} , we get a multiscale analysis of L2(R) in the sense of Mallat and Meyer (see (M), (D)).
Bookmarks Related papers MentionsView impact
Bookmarks Related papers MentionsView impact
Collectanea Mathematica
Bookmarks Related papers MentionsView impact
Tesis doctoral inédita. Universidad Autónoma de Madrid, Facultad de Ciencias, Departamento de Mat... more Tesis doctoral inédita. Universidad Autónoma de Madrid, Facultad de Ciencias, Departamento de Matemáticas, Fecha de lectura: 25-05-2001
Bookmarks Related papers MentionsView impact
Bookmarks Related papers MentionsView impact
Publicacions Matematiques
I am going to discuss the work José Luis Rubio did on weighted norm inequalities. Most of it is i... more I am going to discuss the work José Luis Rubio did on weighted norm inequalities. Most of it is in the book we wrote together on the subject [12].
Bookmarks Related papers MentionsView impact
Tesis doctoral inédita. Universidad Autónoma de Madrid, Facultad de Ciencias, Departamento de Mat... more Tesis doctoral inédita. Universidad Autónoma de Madrid, Facultad de Ciencias, Departamento de Matemáticas. Fecha de lectura: 30-6-94
Bookmarks Related papers MentionsView impact
Journal of Fourier Analysis and Applications
Bookmarks Related papers MentionsView impact
Bookmarks Related papers MentionsView impact
Bulletin of the American Mathematical Society, 1976
Bookmarks Related papers MentionsView impact
The Journal of Fourier Analysis and Applications, 2001
Bookmarks Related papers MentionsView impact
Bookmarks Related papers MentionsView impact
Bookmarks Related papers MentionsView impact
Bookmarks Related papers MentionsView impact
Journal of Geometric Analysis, 2001
Bookmarks Related papers MentionsView impact
Studia Mathematica, 1994
Bookmarks Related papers MentionsView impact
Russian Mathematical Surveys, 1998
Bookmarks Related papers MentionsView impact