Walsh subspaces of $L^p$-product spaces

J. Bourgain

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1979-1980)

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Bourgain, J.. "Walsh subspaces of $L^p$-product spaces." Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1979-1980): 1-14. <http://eudml.org/doc/109239>.

@article{Bourgain1979-1980,
author = {Bourgain, J.},
journal = {Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")},
keywords = {Walsh subspaces; Lp-product spaces},
language = {eng},
pages = {1-14},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Walsh subspaces of $L^p$-product spaces},
url = {http://eudml.org/doc/109239},
year = {1979-1980},
}

TY - JOUR
AU - Bourgain, J.
TI - Walsh subspaces of $L^p$-product spaces
JO - Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
PY - 1979-1980
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 14
LA - eng
KW - Walsh subspaces; Lp-product spaces
UR - http://eudml.org/doc/109239
ER -

References

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1. [1] D. Burkholder and R. Gundy: Extrapolation and interpolation of quasi-linear operators on martingales, Acta Math.124 (1970) 249-304. Zbl0223.60021MR440695
2. [2] A. Garsia: Martingale inequalities, Seminar Notes on Recent Progress, Math. Lecture Note Series. Zbl0284.60046
3. [3] H. Rosenthal: Biased coin convolution operators, The Altgeld Book. University of Illinois at Urbana. 1976. 
4. [4] A. Zygmund: Trigonometrie series, Cambridge University Press. 
5. [1] J. Bourgain: A characterization of non-Dunford-Pettis operators on L1, to appear. Zbl0457.46018
6. [2] J. Bourgain, H.P. Rosenthal and G. Schechtman: An ordinal LP-index for Banach spaces, with applications to complemented subspaces of Lp, Annals of Math., to appear. Zbl0496.46010
7. [3] P. Enflo and T. Starbird: Subspaces of L1 containing L1, to appear in Studia Math.65. Zbl0433.46027MR557491
8. [4] W.B. Johnson and J. Lindenstrauss: Examples of £1-spaces, to appear. Zbl0464.46024MR1863689
9. [5] J. Lindenstrauss and L. Tzafriri: Classical Banach Spaces, Springer MLN, vol. 338. Zbl0852.46015MR415253
10. [6] H.P. Rosenthal: Convolution by a biased coin, the Altged Book1975-76, University of Illinois. 
11. [7] T. Starbird: Subspaces of L1 containing L1, Ph. D. Thesis, University of California, Berkeley, 1976. 

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