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.
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.
José García Cuerva, José María Martell (2000)
Publicacions Matemàtiques
Similarity:
Recently, F. Nazarov, S. Treil and A. Volberg (and independently X. Tolsa) have extended the classical theory of Calderón-Zygmund operators to the context of a non-homogeneous space (X,d,μ) where, in particular, the measure μ may be non-doubling. In the present work we study weighted inequalities for these operators. Specifically, for 1 < p < ∞, we identify sufficient conditions for the weight on one side, which guarantee the existence of another weight in the other side,...
Josefina Alvarez, Mario Milman (1986)
Revista Matemática Iberoamericana
Similarity:
In this article we consider a theory of vector valued strongly singular operators. Our results include Lp, Hp and BMO continuity results. Moreover, as is well known, vector valued estimates are closely related to weighted norm inequalities. These results are developed in the first four sections of our paper. In section 5 we use our vector valued singular integrals to estimate the corresponding maximal operators. Finally in section 6 we discuss...
Carlos Segovia, José L. Torrea (1991)
Publicacions Matemàtiques
Similarity:
Luz M. Fernández-Cabrera, José L. Torrea (1993)
Publicacions Matemàtiques
Similarity:
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...
Josefina Alvarez (1998)
Collectanea Mathematica
Similarity:
Robert Fefferman (1985)
Revista Matemática Iberoamericana
Similarity:
Kenneth Andersen, Russel John (1981)
Studia Mathematica
Similarity:
Xavier Tolsa (2001)
Publicacions Matemàtiques
Similarity:
Given a doubling measure μ on R, it is a classical result of harmonic analysis that Calderón-Zygmund operators which are bounded in L(μ) are also of weak type (1,1). Recently it has been shown that the same result holds if one substitutes the doubling condition on μ by a mild growth condition on μ. In this paper another proof of this result is given. The proof is very close in spirit to the classical argument for doubling measures and it is based on a new Calderón-Zygmund decomposition...
Margaret Murray (1987)
Studia Mathematica
Similarity: