Weights for ergodic square functions

F. J. Martin-Reyes

Annales de l'I.H.P. Probabilités et statistiques (1986)

  • Volume: 22, Issue: 3, page 333-345
  • ISSN: 0246-0203

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Martin-Reyes, F. J.. "Weights for ergodic square functions." Annales de l'I.H.P. Probabilités et statistiques 22.3 (1986): 333-345. <http://eudml.org/doc/77283>.

@article{Martin1986,
author = {Martin-Reyes, F. J.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {ergodic maximal function; weighted inequalities; ergodic square functions},
language = {eng},
number = {3},
pages = {333-345},
publisher = {Gauthier-Villars},
title = {Weights for ergodic square functions},
url = {http://eudml.org/doc/77283},
volume = {22},
year = {1986},
}

TY - JOUR
AU - Martin-Reyes, F. J.
TI - Weights for ergodic square functions
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1986
PB - Gauthier-Villars
VL - 22
IS - 3
SP - 333
EP - 345
LA - eng
KW - ergodic maximal function; weighted inequalities; ergodic square functions
UR - http://eudml.org/doc/77283
ER -

References

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  1. [1] E. Atencia and F.J. Martin-Reyes, Weak type inequalities for the maximal ergodic function and the maximal ergodic Hilbert transform in weighted spaces, Studia Math., t. 78, n° 3, 1984, p. 231-244. Zbl0495.47022MR782660
  2. [2] E. Atencia and A. De La Torre, A dominated ergodic estimate for Lp spaces with weights, Studia Math., t. 75, 1982, p. 35-47. Zbl0442.28021
  3. [3] J. García Cuerva, An extrapolation theorem in the theory of Ap weights, Proc. of the AMS, t. 87, number 3, March 1983, p. 422-426. Zbl0542.41011MR684631
  4. [4] R.L. Jones, Inequalities for the ergodic maximal function, Studia Math., t. 60, 1977, p. 101-129. Zbl0349.47007MR430208
  5. [5] F.J. Martín-Reyes, Inequalities for the ergodic maximal function and convergence of the averages in weighted LP-spaces. To appear in Trans. of the AMS. Zbl0612.28014MR837798
  6. [6] F.J. Martín-Reyes and A. De La Torre, A dominated ergodic theorem for invertible Lp-isometries in weighted Lp-spaces. Preprint. 
  7. [7] José L. RubioDE FRANCIA, Factorization theory and Ap weights, Amer. J. Math., t. 106, 1984, number 3, p. 533-547. Zbl0558.42012MR745140

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