Singular integral operators generated by wavelet transforms

Integral Equations and Operator Theory

Volumn 35, Issue 1, 1999, Pages 105-117

  Ryabogin, Dmitri ^a   Rubin, Boris ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040631473     PISSN: 0378620X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01225531     Document Type: Article

References (17)

1. Calderón, A.P., and Zygmund, A., On singular integrals, Amer. J. Math., 18, 1956, pp. 289-309.
2. 1, Proc. Symposia Pure Math., vol. 35, (Stephen Wainger and Guido Weiss, eds.), A.M.S., 1979, pp. 163-165.
3. Coifman, R.R., and Weiss, G., Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc. 83, 1977, pp. 569-645.
4. Colzani, L., Hardy spaces on unit spheres, Boll. U. M. I., Analisi Funzionale e Applicazioni, Serie VI, Vol. IV - C. N. 1 - 1985, pp. 219-244.
5. Frazier, M., Jawerth, B., and Weiss, G., Littlewood-Paley theory and the study of function spaces, CBMS Reg. Conf. Ser. in Math. no. 79, Amer. Math. Soc., Providence, R.I., 1991.
6. Fisher, M.J., Singular Integral Operators over a Hilbert space, Trans. Amer. Math. Soc. 131, 1968, pp. 437-465.
7. Fisher, M.J., Singular integrals on Hilbert space, Bull. Amer. Math. Soc. 73, 1967, pp. 428-431.
8. Grafakos, L., and Stefanov, A., Convolution Calderón-Zygmund singular integral operators with rough kernels, in: Analysis of Divergence: Control and Management of Divergent Processes, Birkhauser, eds: W.O. Bray, C. V. Stanojevic, (to appear).
9. p bounds for singular integrals and maximal singular integrals with rough kernels, 1998, Indiana Univ. J. of Math., to appear.
10. n-1) , Proc. Symposia Pure Math., vol. 35, (Stephen Wainger and Guido Weiss, eds.), A.M.S., 1979, pp. 289-294.
11. Rubin, B., Fractional integrals and potentials, Addison Wesley Longman, Essex, U.K., 1996.
12. p-spaces, The Journal of Fourier Anal. and Appl., 4, 1998, pp. 175-197.
13. Saeki, S., On the reproducing formula of Calderón, The Journal of Fourier Anal, and Appl. 2, 1995, pp. 15-28.
14. 1 and applications to singular integrals, 1997, submitted.
15. Stein, E.M., Harmonic analysis, real variable methods, orthogonality, and oscillation integrals, Princeton Univ. Press, Princeton, N.J., 1993.
16. Stein, E.M., and Weiss, G., Introduction to Fourier analysis in euclidean spaces, Princeton Univ. Press, Princeton, N.J., 1971.
17. Watson, D.K., The Hardy space kernel condition for rough singular integrals, 1994, to appear.