Littlewood-Paley theory on solenoids

Nakhlé Asmar; Stephen Montgomery-Smith

Colloquium Mathematicae (1993)

  • Volume: 65, Issue: 1, page 69-82
  • ISSN: 0010-1354

How to cite

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Asmar, Nakhlé, and Montgomery-Smith, Stephen. "Littlewood-Paley theory on solenoids." Colloquium Mathematicae 65.1 (1993): 69-82. <http://eudml.org/doc/210207>.

@article{Asmar1993,
author = {Asmar, Nakhlé, Montgomery-Smith, Stephen},
journal = {Colloquium Mathematicae},
keywords = {Littlewood-Paley theory; solenoids; Stein's inequality},
language = {eng},
number = {1},
pages = {69-82},
title = {Littlewood-Paley theory on solenoids},
url = {http://eudml.org/doc/210207},
volume = {65},
year = {1993},
}

TY - JOUR
AU - Asmar, Nakhlé
AU - Montgomery-Smith, Stephen
TI - Littlewood-Paley theory on solenoids
JO - Colloquium Mathematicae
PY - 1993
VL - 65
IS - 1
SP - 69
EP - 82
LA - eng
KW - Littlewood-Paley theory; solenoids; Stein's inequality
UR - http://eudml.org/doc/210207
ER -

References

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  1. [1] R. A. Beaumont and H. S. Zuckerman, A characterization of the subgroups of the additive rationals, Pacific J. Math. 1 (1951), 169-177. Zbl0043.02904
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  3. [3] C. Bennett and R. Sharpley, Interpolation of Operators, Academic Press, 1988. Zbl0647.46057
  4. [4] E. Berkson, T. A. Gillespie and P. S. Muhly, L p -multiplier transference induced by representations in Hilbert space, Studia Math. 94 (1989), 51-61. Zbl0722.43001
  5. [5] D. L. Burkholder, B. J. Davis and R. F. Gundy, Integral inequalities for convex functions of operators on martingales, in: Proc. Sixth Berkeley Sympos. Math. Statist. Probab., Vol. 2, Univ. of California Press, Berkeley, Calif., 1972, 223-240. Zbl0253.60056
  6. [6] A. P. Calderòn, Intermediate spaces and interpolation, the complex method, Studia Math. 24 (1964), 113-190. Zbl0204.13703
  7. [7] J. Diestel and J. J. Uhl, Vector Measures, Math. Surveys 15, Amer. Math. Soc., Providence, R.I., 1977. 
  8. [8] J. L. Doob, Stochastic Processes, Wiley Publications in Statistics, New York 1953. 
  9. [9] R. E. Edwards and G. I. Gaudry, Littlewood-Paley and Multiplier Theory, Ergeb. Math. Grenzgeb. 90, Springer, Berlin 1977. 
  10. [10] J. García-Cuerva and J. L. Rubio de Francia, Weighted Norm Inequalities and Related Topics, North-Holland, 1985. 
  11. [11] A. M. Garsia, Martingale Inequalities, W. A. Benjamin, Reading, Mass., 1973. 
  12. [12] E. Hewitt and G. Ritter, Fourier series on certain solenoids, Math. Ann. 257 (1981), 61-83. Zbl0448.42005
  13. [13] E. Hewitt and G. Ritter, Conjugate Fourier series on certain solenoids, Trans. Amer. Math. Soc. 273 (1983), 817-840. Zbl0521.43007
  14. [14] E. Hewitt and K. A. Ross, Abstract Harmonic Analysis, Vol. I, Springer, Berlin 1963. Zbl0115.10603
  15. [15] E. M. Stein, Topics in Harmonic Analysis Related to Littlewood-Paley Theory, Ann. of Math. Stud. 63, Princeton Univ. Press, 1985. 

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