Sur l’espace H p de martingales régulières ( 0 < p 1 )

Jui-Lin Long

Annales de l'I.H.P. Probabilités et statistiques (1981)

  • Volume: 17, Issue: 1, page 123-142
  • ISSN: 0246-0203

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Long, Jui-Lin. "Sur l’espace $H^p$ de martingales régulières $(0 &lt; p \le 1)$." Annales de l'I.H.P. Probabilités et statistiques 17.1 (1981): 123-142. <http://eudml.org/doc/77151>.

@article{Long1981,
author = {Long, Jui-Lin},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {decomposition of Hp-martingales},
language = {fre},
number = {1},
pages = {123-142},
publisher = {Gauthier-Villars},
title = {Sur l’espace $H^p$ de martingales régulières $(0 &lt; p \le 1)$},
url = {http://eudml.org/doc/77151},
volume = {17},
year = {1981},
}

TY - JOUR
AU - Long, Jui-Lin
TI - Sur l’espace $H^p$ de martingales régulières $(0 &lt; p \le 1)$
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1981
PB - Gauthier-Villars
VL - 17
IS - 1
SP - 123
EP - 142
LA - fre
KW - decomposition of Hp-martingales
UR - http://eudml.org/doc/77151
ER -

References

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  1. [1] R.E. Edwards, G.I. Gaudry, Littlewood-Paley and multiplier theory. Ergebnisse der Math., t. 90, 1977, Springer-Verlag. Zbl0467.42001MR618663
  2. [2] Jui-Lin Long, Martingale régulière et Φ-inégalités avec poids entre f*, S(f) et σ(f). C. R. Acad. Sci. (Paris), t. 291, 1980, p. 31-34. Zbl0438.60039MR590982
  3. [3] A. Bernard, B. Maisonneuve, Décomposition atomique de martingales de la classe H1. Sém. Prob.XI, Lect. Notes, t. 581, 1977, p. 303-323. Springer-Verlag. Zbl0384.60032MR478326
  4. [4] B. Davis, Hardy spaces and rearrangements. Trans. Amer. Math. Soc., t. 261, 1980, p. 211-233. Zbl0438.42010MR576872
  5. [5] R.R. Coifman, G. Weiss, Extensions of Hardy spaces and their use in analysis. Bull. Amer. Math. Soc., t. 83, 1977, p. 569-645. Zbl0358.30023MR447954
  6. [6] E.M. Stein, Note on the class L log L. Studia Math., t. 32, 1969, p. 305-310. Zbl0182.47803MR247534
  7. [7] R.F. Gundy, On the class L log L, martingales and singular integrals. Studia Math., t. 33, 1969, p. 109-118. Zbl0181.44202MR243588
  8. [8] A.M. Garsia, Martingale inequalities. Sem. Notes on Recent Progress. W. A. Benjamin Inc, 1973. Zbl0284.60046MR448538
  9. [9] J. Neveu, Martingales à temps discret. Masson, Paris, 1972. MR402914
  10. [10] J. Brossard, Généralisation des inégalités de Burkholder et Gundy aux martingales régulières à deux indices. C. Acad. Sci. (Paris), t. 288, 1979, p. 267-270. Zbl0404.60052MR524790
  11. [11] R.F. Gundy, N. Th. Varopoulos, A martingale that occurs in harmonic analysis. Ark. for Math., t. 14, 1976, p. 179-187. Zbl0371.60058MR448539
  12. [12] R.F. Gundy, Inégalités pour martingales. Lect. Notes in Math., t. 774, 1980, p. 252-334. Springer-Verlag. Zbl0427.60046MR590628

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