Abstract
We give a new proof of a theorem of L. Carleson and P. Sjölin onL p-boundedness of spherical summation operators in two variables.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S. Bochner,Summation of multiple Fourier series by spherical means, Trans. Amer. Math. Soc. (1936).
L. Carleson and P. Sjölin,Oscillatory integrals and a multiplier problem for the disc, Studia Math, to appear.
C. Fefferman,Inequalities for strongly singular convolution operators, Acta Math. (1970).
C. Hefferman,The multiplier problem for the ball, Ann. of Math. (1972).
C. Herz,On the mean inversion of Fourier and Hankel transforms, Proc. Nat. Acad. Sci. U. S. A. (1954).
L. Hörmander,Oscillatory integrals and multipliers on FL p, to appear.
P. Sjölin, private communication.
E. M. Stein,Interpolation of linear operators, Trans. Amer. Math. Soc. (1956).
E. M. Stein and G. Weiss,Introduction to Fourier Analysis in Euclidean Spaces, Princeton University Press, 1971.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Fefferman, C. A note on spherical summation multipliers. Israel J. Math. 15, 44–52 (1973). https://doi.org/10.1007/BF02771772
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02771772