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Young, L. C.

An inequality of the Hölder type, connected with Stieltjes integration. (English) Zbl 0016.10404

Acta Math. 67, 251-282 (1936).
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Cited in 6 Reviews
Cited in 227 Documents

Keywords:

Analysis
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\textit{L. C. Young}, Acta Math. 67, 251--282 (1936; Zbl 0016.10404)
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References:

[1] Besicovitch, A. S.: Sur la nature des fonctions à carré sommable et des ensembles mesurables, Fundamenta Math. 4 (1923) 172–195. · JFM 49.0182.01
[2] Bohr, H.: The arithmetic and geometric means, Journ. London Math. Soc. 10 (1935) 114. · Zbl 0011.34204
[3] Hardy, G. H.: Weierstrass’s non differentiable function, Trans. Amer. Math. Soc. 17 (1916), 301–325. · JFM 46.0401.03
[4] Hardy, G. H. andLittlewood, J. E.: A convergence criterion for Fourier series, Math. Zeitschrift 28 (1928) 612–634. · JFM 54.0301.03
[5] Hardy, G. H., Littlewood, J. E., andPólya, G.: Inequalities, Cambridge 1934.
[6] Helly, E.: Über lineare Funktionaloperationen, Wiener Sitzungsberichte 121 (1912), p. 265. · JFM 43.0418.02
[7] Kogbetliantz, E.: Les séries trigonométriques et les séries sphériques, Annales Sc. de l’Ecole Normale (3) 40 (1923) 259–323. · JFM 49.0715.02
[8] Kuttner, B.: A theorem on trigonometric series, Journ. London Math. Soc. 10 (1935) 131–135. · Zbl 0011.25501
[9] Pollard, S.: The Stieltjes integral and its generalisations, Quart. Journ. of Math. 49 (1923) 73–138. · JFM 48.1199.01
[10] Pollard, S. andYoung, R. C.: On the integral \(\int\limits_a^b {\frac{{dF(t)}}{{x - t}},} \) , Proc. London Math. Soc. (2) 28 (1928) 293–300. · JFM 54.0328.01
[11] Wiener, N.: The Quadratic Variation of a function and its Fourier coefficients, Journ. Mass. Inst. of Technology 3 (1924) 73–94. · JFM 50.0203.01
[12] Zygmund, A.: Trigonometrical series, Warsaw (1935). · Zbl 0011.01703
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