• [1] T. Carleman, L’Intégrale de Fourier et Questions que s’y Rattachent, Publications Scientifiques de l’Institut Mittag-Leffler, vol. 1, Uppsala, 1944 (French). MR 0014165 (7,248c)
• [2] G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities, Cambridge, Cambridge University Press, 1934.
• [3] E. Hille and J. D. Tamarkin, On the absolute integrability of Fourier transforms, Fund. Math. vol. 25 (1935) pp. 329-352.
• [4] I. I. Hirschman, The decomposition of Walsh and Fourier series, Mem. Amer. Math. Soc. 1955 (1955), no. 15, 65. MR 0072269 (17,257e)
• [5] B. V. Hvedelidze, Some properties of improper integrals in the sense of the Cauchy-Lebesgue principal value, Soobščeniya Akad. Nauk Gruzin. SSR. 8 (1947), 283–290 (Russian). MR 0049470 (14,181b)
• [6] H. Kober, A note on Hilbert’s operator, Bull. Amer. Math. Soc. 48 (1942), 421–427. MR 0006775 (4,40d), http://dx.doi.org/10.1090/S0002-9904-1942-07688-9
• [7] Lynn H. Loomis, An introduction to abstract harmonic analysis, D. Van Nostrand Company, Inc., Toronto-New York-London, 1953. MR 0054173 (14,883c)
• [8] N. I. Muskhelishvili, Singular integral equations, Wolters-Noordhoff Publishing, Groningen, 1972. Boundary problems of functions theory and their applications to mathematical physics; Revised translation from the Russian, edited by J. R. M. Radok; Reprinted. MR 0355494 (50 #7968)
• [9] Elias M. Stein, Interpolation of linear operators, Trans. Amer. Math. Soc. 83 (1956), 482–492. MR 0082586 (18,575d), http://dx.doi.org/10.1090/S0002-9947-1956-0082586-0
• [10] G. Szegö, Über die Randwerte analytischer Functionen, Math. Ann. vol. 84 (1921) pp. 232-244.
• [11] E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford, Oxford University Press, 1937.
• [12] A. Zygmund, Sur les fonctions conjugées, Fund. Math. vol. 13 (1929) pp. 284-303.
• [13] Antoni Zygmund, Trigonometrical series, Chelsea Publishing Co., New York, 1952. 2nd ed. MR 0076084 (17,844d)

Bibliography

[1]

T. Carleman, L'intégrale de Fourier et questions qui s'y rattachent, Uppsala, Almquist & Wiksells, 1944. MR 0014165 (7:248c)

[2]

G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities, Cambridge, Cambridge University Press, 1934.

[3]

E. Hille and J. D. Tamarkin, On the absolute integrability of Fourier transforms, Fund. Math. vol. 25 (1935) pp. 329-352.

[4]

I. I. Hirschman, Jr., Decomposition of Walsh and Fourier series, Memoirs Amer. Math. Soc. no. 15, 1955. MR 0072269 (17:257e)

[5]

B. V. Hvedelidze, Some properties of improper integrals in the sense of the Cauchy-Lebesgue principal value, Soobšč. Akad. Nauk Gruzin. SSR. vol. 8 (1947) pp. 283-290. MR 0049470 (14:181b)

[6]

H. Kober, A note on Hilbert's operator, Proc. Amer. Math. Soc. vol. 48 (1942) pp. 421-427. MR 0006775 (4:40d)

[7]

L. H. Loomis, An introduction to abstract harmonic analysis, New York, Van Nostrand, 1953. MR 0054173 (14:883c)

[8]

N. I. Muskhelishvili, Singular integral equations, Groningen, P. Noordhoff, 1953. MR 0355494 (50:7968)

[9]

E. M. Stein, Interpolation of linear operators, Trans. Amer. Math. Soc. vol. 83 (1956) pp. 482-492. MR 0082586 (18:575d)

[10]

G. Szegö, Über die Randwerte analytischer Functionen, Math. Ann. vol. 84 (1921) pp. 232-244.

[11]

E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford, Oxford University Press, 1937.

[12]

A. Zygmund, Sur les fonctions conjugées, Fund. Math. vol. 13 (1929) pp. 284-303.

[13]

-, Trigonometrical series, New York, Chelsea Publishing Co., 1952. MR 0076084 (17:844d)