Article PDF
Avoid common mistakes on your manuscript.
References
J. L. Journé,Calderón —Zygmund operators on product spaces, Rev. Mat. Iberoamericana1 (1985), 55–91.
A. Magyar, E. M. Stein and S. Wainger,Discrete analogues in harmonic analysis: spherical averages, preprint.
D. Oberlin,Two discrete fractional integrals, Math. Res. Lett.8 (2001), 1–6.
J. L. Rubio de Francia,A Littlewood-Paley inequality for arbitrary intervals, Rev. Mat. Iberoamericana1 (1985), 1–14.
E. M. Stein and S. Wainger,Discrete analogues of singular Radon transforms. Bull. Amer. Math. Soc.23 (1990), 537–544.
E. M. Stein and S. Wainger,Discrete analogues in harmonic analysis II: fractional integration, J. Analyse Math.80 (2000), 335–355.
I. M. Vinogradov,The Method of Trigonometric Sums in the Theory of Numbers, Interscience, London, 1954.
A. Walfisz,Gitterpunkte in mehrdimensionalen Kugeln, Polish Scientific Publishers, Warsaw, 1957.
Author information
Authors and Affiliations
Corresponding author
Additional information
This work was supported by NSF grants DMS-9706889 and DMS 9731647.
Rights and permissions
About this article
Cite this article
Stein, E.M., Wainger, S. Two discrete fractional integral operators revisited. J. Anal. Math. 87, 451–479 (2002). https://doi.org/10.1007/BF02868485
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02868485