ArticleOriginal scientific text

Title

Vector-valued Calderón-Zygmund theory applied to tent spaces

Authors 1, 2

Affiliations

  1. Departamento de Matemáticas, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain
  2. Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, 28049 Madrid, Spain

Keywords

Calderón-Zygmund theory, Poisson integral, Carleson measures, tent spaces

Bibliography

  1. J. Alvarez and M. Milman, Spaces of Carleson measures: duality and interpolation, Ark. Mat. 25 (1987), 155-174.
  2. D. L. Burkholder, A geometric condition that implies the existence of certain singular integrals of Banach-space-valued functions, in: Conf. Harmonic Analysis in Honor of A. Zygmund, Wadsworth, Belmont, Calif., 1983, 270-286.
  3. R. R. Coifman, Y. Meyer et E. M. Stein, Un nouvel espace fonctionnel adapté à l'étude des opérateurs définis par des intégrales singulières, in: Proc. Conf. Harmonic Analysis, Cortona, Lecture Notes in Math. 992, Springer, Berlin 1983, 1-15.
  4. R. R. Coifman, Y. Meyer and E. M. Stein, Some new function spaces and their applications to harmonic analysis, J. Funct. Anal. 62 (1985), 304-335.
  5. R. R. Coifman and G. Weiss, Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc. 83 (1977), 569-645.
  6. J. L. Rubio de Francia, F. J. Ruiz and J. L. Torrea, Calderón-Zygmund theory for operator-valued kernels, Adv. in Math. 62 (1986), 7-48.
  7. F. J. Ruiz and J. L. Torrea, Weighted and vector-valued inequalities for potential operators, Trans. Amer. Math. Soc. 295 (1986), 213-232.
  8. F. J. Ruiz and J. L. Torrea, Vector-valued Calderón-Zygmund theory and Carleson measures on spaces of homogeneous nature, Studia Math. 88 (1988), 221-243.
  9. F. Zo, A note on approximation of the identity, Studia Math. 55 (1976), 111-122.
Pages:
267-277
Main language of publication
English
Received
1989-12-20
Accepted
1990-09-05
Published
1991
Exact and natural sciences