Vector-valued Calderón-Zygmund theory applied to tent spaces

Czasopismo

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• Autorzy: Francisco J. Ruiz , José L. Torrea
• Języki publikacji: EN

Słowa kluczowe

EN

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: ---
• Rocznik: 1991
• Tom: 62
• Numer: 2
• Strony: 267-277

Daty

wydano

1991

otrzymano

1989-12-20

poprawiono

1990-09-05

Twórcy

autor

Francisco J. Ruiz

• Departamento de Matemáticas, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain

autor

José L. Torrea

• Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, 28049 Madrid, Spain

Bibliografia

• [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.