References
P. Auscher and M. J. Carro, On relations between operators onR N,T N, andZ N,Studia Math.,101 (1992), 166–182.
L. Carleson, On convergence and growth of partial sums of Fourier series,Acta Math.,116 (1966), 135–157.
R. A. Hunt, On the convergence of Fourier series, Orthogonal Expansions and their Continuous Analogues (Proc., Conf., Edwardsville, Ill., 1967), pp. 235–255; Southern Illinois Univ. Press (Carbondale, Ill., 1968).
J. Marcinkiewicz, Sur la sommabilité forte de séries de Fourier,J. London Math. Soc.,14 (1939), 162–168.
A. Máté, Convergence of Fourier series of square integrable functions,Mat. Lapok.,18 (1967), 195–242 (Hungarian); MR 39 # 701.
E. M. Stein,Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press (Princeton, New Jersey, 1970).
E. M. Stein and G. Weiss,Introduction to Fourier Analysis on Euclidean Spaces, Princeton Univ. Press (Princeton, New Jersey, 1971).
E. C. Titchmarsh,Introduction to the Theory of Fourier Integrals, Clarendon Press (Oxford, 1937).
A. Zygmund, On the convergence and summability of power series on the circle of convergence (II),Proc. London Math. Soc.,47 (1942), 326–350.
A. Zygmund,Trigonometric Series, Cambridge Univ. Press (Cambridge, 1959).
Author information
Authors and Affiliations
Additional information
Partially supported by the Hungarian National Foundation for Scientific Research under Grant #234.
Rights and permissions
About this article
Cite this article
Giang, D.V., Móricz, F. The strong summability of Fourier transforms. Acta Math Hung 65, 403–419 (1994). https://doi.org/10.1007/BF01876042
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01876042