Convexity theorems
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References
- 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. MR 10629, DOI 10.1017/s0305004100018223 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. 4. R. E. A. C. Paley, A proof of a theorem on bilinear forms, J. London Math. Soc. vol. 6 (1931).
- Marcel Riesz, Sur les maxima des formes bilinéaires et sur les fonctionnelles linéaires, Acta Math. 49 (1927), no. 3-4, 465–497 (French). MR 1555250, DOI 10.1007/BF02564121
- R. Salem, Sur une extension du théorème de convexité de M. Marcel Riesz, Colloq. Math. 1 (1947), 6–8 (French). MR 22884, DOI 10.4064/cm-1-1-6-8
- R. Salem and A. Zygmund, A convexity theorem, Proc. Nat. Acad. Sci. U.S.A. 34 (1948), 443–447. MR 27083, DOI 10.1073/pnas.34.9.443
- J. D. Tamarkin and A. Zygmund, Proof of a theorem of Thorin, Bull. Amer. Math. Soc. 50 (1944), 279–282. MR 9964, DOI 10.1090/S0002-9904-1944-08137-8 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. 10. G. O. Thorin, Convexity theorems, Meddelanden fran Lunds Universitets Matematiska Seminarium, Thesis, Uppsala, 1948. 11. L. C. Young, On an inequality of Marcel Riesz, Ann. of Math. vol. 40 (1939). 12. A. Zygmund, Fund. Math. vol. 30 (1938) p. 190. 13. A. Zygmund, Trigonometrical series, Warsaw, 1935. 14. A. Zygmund, Prace Maternatyczno-Fizyczne vol. 44 (1935).
Additional Information
- Journal: Bull. Amer. Math. Soc. 55 (1949), 851-860
- DOI: https://doi.org/10.1090/S0002-9904-1949-09277-7
- MathSciNet review: 0031977