Littlewood-Paley theory on solenoids

• Autorzy: Nakhlé Asmar , Stephen Montgomery-Smith
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1993
• Tom: 65
• Numer: 1
• Strony: 69-82

Daty

wydano

1993

otrzymano

1992-02-05

poprawiono

1992-11-20

Twórcy

autor

Nakhlé Asmar

• Department of Mathematics, University of Missouri, Columbia, Missouri 65211, U.S.A.

autor

Stephen Montgomery-Smith

• Department of Mathematics, University of Missouri, Columbia, Missouri 65211, U.S.A.

Bibliografia

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• [3] C. Bennett and R. Sharpley, Interpolation of Operators, Academic Press, 1988.
• [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.
• [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.
• [6] A. P. Calderòn, Intermediate spaces and interpolation, the complex method, Studia Math. 24 (1964), 113-190.
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• [10] J. García-Cuerva and J. L. Rubio de Francia, Weighted Norm Inequalities and Related Topics, North-Holland, 1985.
• [11] A. M. Garsia, Martingale Inequalities, W. A. Benjamin, Reading, Mass., 1973.
• [12] E. Hewitt and G. Ritter, Fourier series on certain solenoids, Math. Ann. 257 (1981), 61-83.
• [13] E. Hewitt and G. Ritter, Conjugate Fourier series on certain solenoids, Trans. Amer. Math. Soc. 273 (1983), 817-840.
• [14] E. Hewitt and K. A. Ross, Abstract Harmonic Analysis, Vol. I, Springer, Berlin 1963.
• [15] E. M. Stein, Topics in Harmonic Analysis Related to Littlewood-Paley Theory, Ann. of Math. Stud. 63, Princeton Univ. Press, 1985.