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Salem, R.

Convexity theorems. (English) Zbl 0034.20501

Bull. Am. Math. Soc. 55, 851-860 (1949).
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Partial differential equations
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[1] G. H. Hardy and J. E. Littlewood, Note on the theory of series. XXIII. On the partial sums of Fourier series, Proc. Cambridge Philos. Soc. 40 (1944), 103 – 107. · Zbl 0063.01926
[2] J. E. Littlewood and R. E. A. C. Paley, Proc. London Math. Soc. vol. 43 (1937) p. 105.
[3] J. Marcinkiewicz and A. Zygmund, Some theorems on orthogonal systems, Fund. Math. vol. 28 (1937) pp. 309-335. · JFM 63.0202.01
[4] R. E. A. C. Paley, A proof of a theorem on bilinear forms, J. London Math. Soc. vol. 6 (1931). · Zbl 0002.17903
[5] Marcel Riesz, Sur les maxima des formes bilinéaires et sur les fonctionnelles linéaires, Acta Math. 49 (1927), no. 3-4, 465 – 497 (French). · JFM 53.0259.03 · doi:10.1007/BF02564121
[6] R. Salem, Sur une extension du théorème de convexité de M. Marcel Riesz, Colloquium Math. 1 (1947), 6 – 8 (French). · Zbl 0037.33901
[7] R. Salem and A. Zygmund, A convexity theorem, Proc. Nat. Acad. Sci. U. S. A. 34 (1948), 443 – 447. · Zbl 0034.33501
[8] J. D. Tamarkin and A. Zygmund, Proof of a theorem of Thorin, Bull. Amer. Math. Soc. 50 (1944), 279 – 282. · Zbl 0060.24104
[9] G. O. Thorin, An extension of a convexity theorem due to M. Riesz, Kungl. Fysiografiske Sallskapets i Lund Forhandlinger vol. 8 (1939) p. 14. · Zbl 0021.14404
[10] G. O. Thorin, Convexity theorems, Meddelanden fran Lunds Universitets Matematiska Seminarium, Thesis, Uppsala, 1948. · Zbl 0034.20404
[11] L. C. Young, On an inequality of Marcel Riesz, Ann. of Math. vol. 40 (1939). · Zbl 0021.21603
[12] A. Zygmund, Fund. Math. vol. 30 (1938) p. 190.
[13] A. Zygmund, Trigonometrical series, Warsaw, 1935. · Zbl 0011.01703
[14] A. Zygmund, Prace Maternatyczno-Fizyczne vol. 44 (1935).
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