On an integral of Marcinkiewicz
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- by Daniel Waterman
- Trans. Amer. Math. Soc. 91 (1959), 129-138
- DOI: https://doi.org/10.1090/S0002-9947-1959-0103953-5
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References
- G. H. Hardy and J. E. Littlewood, A maximal theorem with function-theoretic applications, Acta Math. 54 (1930), no. 1, 81–116. MR 1555303, DOI 10.1007/BF02547518 E. Hille and J. D. Tamarkin, On the absolute integrability of Fourier transforms, Fund. Math. vol. 25 (1935) pp. 329-352. J. Marcinkiewicz, Sur quelques intégrales du type de Dini, Ann. Soc. Polon. Math. vol. 17 (1938) pp. 42-50. M. Riesz, Sur les séries conjugées, Math. Z. vol. 27 (1927) pp. 218-244. E. Trombley, Unpublished manuscript.
- Daniel Waterman, On functions analytic in a half-plane, Trans. Amer. Math. Soc. 81 (1956), 167–194. MR 76030, DOI 10.1090/S0002-9947-1956-0076030-7
- A. Zygmund, On certain integrals, Trans. Amer. Math. Soc. 55 (1944), 170–204. MR 9966, DOI 10.1090/S0002-9947-1944-0009966-5
Bibliographic Information
- © Copyright 1959 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 91 (1959), 129-138
- MSC: Primary 26.00
- DOI: https://doi.org/10.1090/S0002-9947-1959-0103953-5
- MathSciNet review: 0103953