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Vector-valued hausdorff-young inequalities and applications

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Geometric Aspects of Functional Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1317))

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References

  1. J. Bourgain, A Hausdorff-Young inequality for B-convex Banach spaces, Pac. J. Math., 100, No. 2, 1982, 94–102.

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  2. J. Bourgain, Vector-valued singular integrals and the H1-BMO duality, in “Probability Theory and Harmonic Analysis”, ed. Chao/Woyczynski, Marcel Dekker, 1985, p. 1–19.

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  3. O. Blasco, A. Pelczynski, Theorems of Hardy and Paley for vectorvalued analytic functions and related classes of Banach spaces, preprint 1987, to appear in TAMS

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  4. G. Pisier, Séminaire d'Analyse Fonctionnelle, 1980–81, Exp. 7, Ecole Polytechnique.

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  5. S. Szarek, T. Wolniewicz, A proof of Fefferman's theorem on multipliers, preprint PAN, 1980.

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  6. M. Milman, Complex interpolation and geometry of Banach spaces, Ann. Math. Pure Appl. IV, ser 136 (1984), 317–328.

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  7. J. Petree, Sur la transformation de Fourier des fonctions á valeurs vectorielles, Rend. Sem. Mat. Univ. Padova 42 (1969), 15–26.

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Authors and Affiliations

  1. IHES, France

    J. Bourgain

Authors
  1. J. Bourgain
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Joram Lindenstrauss Vitali D. Milman

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© 1988 Springer-Verlag

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Bourgain, J. (1988). Vector-valued hausdorff-young inequalities and applications. In: Lindenstrauss, J., Milman, V.D. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1317. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081745

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  • DOI: https://doi.org/10.1007/BFb0081745

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19353-1

  • Online ISBN: 978-3-540-39235-4

  • eBook Packages: Springer Book Archive

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