Littlewood-Paley theory on solenoids
Asmar, Nakhlé ; Montgomery-Smith, Stephen
Colloquium Mathematicae, Tome 66 (1993), p. 69-82 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1993-01-01
EUDML-ID : urn:eudml:doc:210207 
@article{bwmeta1.element.bwnjournal-article-cmv65i1p69bwm,
     author = {Nakhl\'e Asmar and Stephen Montgomery-Smith},
     title = {Littlewood-Paley theory on solenoids},
     journal = {Colloquium Mathematicae},
     volume = {66},
     year = {1993},
     pages = {69-82},
     zbl = {0833.43002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv65i1p69bwm}
}

Asmar, Nakhlé; Montgomery-Smith, Stephen. Littlewood-Paley theory on solenoids. Colloquium Mathematicae, Tome 66 (1993) pp. 69-82. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv65i1p69bwm/

[000] [1] R. A. Beaumont and H. S. Zuckerman, A characterization of the subgroups of the additive rationals, Pacific J. Math. 1 (1951), 169-177. | Zbl 0043.02904

[001] [2] A. Benedek and R. Panzone, The spaces LP, with mixed norms, Duke Math. J. 28 (1961), 301-324. | Zbl 0107.08902

[002] [3] C. Bennett and R. Sharpley, Interpolation of Operators, Academic Press, 1988. | Zbl 0647.46057

[003] [4] E. Berkson, T. A. Gillespie and P. S. Muhly, Lp-multiplier transference induced by representations in Hilbert space, Studia Math. 94 (1989), 51-61. | Zbl 0722.43001

[004] [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. | Zbl 0253.60056

[005] [6] A. P. Calderòn, Intermediate spaces and interpolation, the complex method, Studia Math. 24 (1964), 113-190. | Zbl 0204.13703

[006] [7] J. Diestel and J. J. Uhl, Vector Measures, Math. Surveys 15, Amer. Math. Soc., Providence, R.I., 1977.

[007] [8] J. L. Doob, Stochastic Processes, Wiley Publications in Statistics, New York 1953.

[008] [9] R. E. Edwards and G. I. Gaudry, Littlewood-Paley and Multiplier Theory, Ergeb. Math. Grenzgeb. 90, Springer, Berlin 1977.

[009] [10] J. García-Cuerva and J. L. Rubio de Francia, Weighted Norm Inequalities and Related Topics, North-Holland, 1985.

[010] [11] A. M. Garsia, Martingale Inequalities, W. A. Benjamin, Reading, Mass., 1973.

[011] [12] E. Hewitt and G. Ritter, Fourier series on certain solenoids, Math. Ann. 257 (1981), 61-83. | Zbl 0448.42005

[012] [13] E. Hewitt and G. Ritter, Conjugate Fourier series on certain solenoids, Trans. Amer. Math. Soc. 273 (1983), 817-840. | Zbl 0521.43007

[013] [14] E. Hewitt and K. A. Ross, Abstract Harmonic Analysis, Vol. I, Springer, Berlin 1963. | Zbl 0115.10603

[014] [15] E. M. Stein, Topics in Harmonic Analysis Related to Littlewood-Paley Theory, Ann. of Math. Stud. 63, Princeton Univ. Press, 1985.