Vector-valued Calderón-Zygmund theory applied to tent spaces

Francisco Ruiz; José Torrea

Colloquium Mathematicae (1991)

  • Volume: 62, Issue: 2, page 267-277
  • ISSN: 0010-1354

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Ruiz, Francisco, and Torrea, José. "Vector-valued Calderón-Zygmund theory applied to tent spaces." Colloquium Mathematicae 62.2 (1991): 267-277. <http://eudml.org/doc/210113>.

@article{Ruiz1991,
author = {Ruiz, Francisco, Torrea, José},
journal = {Colloquium Mathematicae},
keywords = {Calderón-Zygmund theory; Poisson integral; Carleson measures; tent spaces; vector-valued spaces; vector-valued Calderón-Zygmund theory; continuity; singular integrals; vector-valued tent spaces},
language = {eng},
number = {2},
pages = {267-277},
title = {Vector-valued Calderón-Zygmund theory applied to tent spaces},
url = {http://eudml.org/doc/210113},
volume = {62},
year = {1991},
}

TY - JOUR
AU - Ruiz, Francisco
AU - Torrea, José
TI - Vector-valued Calderón-Zygmund theory applied to tent spaces
JO - Colloquium Mathematicae
PY - 1991
VL - 62
IS - 2
SP - 267
EP - 277
LA - eng
KW - Calderón-Zygmund theory; Poisson integral; Carleson measures; tent spaces; vector-valued spaces; vector-valued Calderón-Zygmund theory; continuity; singular integrals; vector-valued tent spaces
UR - http://eudml.org/doc/210113
ER -

References

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  1. [1] J. Alvarez and M. Milman, Spaces of Carleson measures: duality and interpolation, Ark. Mat. 25 (1987), 155-174. Zbl0638.42020
  2. [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. [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. [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. Zbl0569.42016
  5. [5] R. R. Coifman and G. Weiss, Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc. 83 (1977), 569-645. Zbl0358.30023
  6. [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. Zbl0627.42008
  7. [7] F. J. Ruiz and J. L. Torrea, Weighted and vector-valued inequalities for potential operators, Trans. Amer. Math. Soc. 295 (1986), 213-232. Zbl0594.42014
  8. [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. Zbl0639.42015
  9. [9] F. Zo, A note on approximation of the identity, Studia Math. 55 (1976), 111-122. Zbl0326.44005

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