A Remark on Conjugate Series

A Remark on Conjugate Series
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DOI:
10.1112/plms/s2-34.1.392
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发表时间:
1932
影响因子:
1.8
通讯作者:
A. Zygmund
A. Zygmund
中科院分区:
数学1区
文献类型:
--
作者:
A. Zygmund

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参见A. Zygmund,Fundamenta Math.,13(1929),284-303; JE Littlewood,Journal伦敦Math. Soc,4(1929),305-307.在这些文件的第一个不太强的结果(定理I)的陈述,但使用的方法很容易得到不等式(1.1)。这个恒等式已经被Kolmogoroff,Fundamenta Math.,7(1925),24-29,和M. Riesz,Math. Zeitschrift,27(1928),218-244.
O f See A. Zygmund, Fundamenta Math., 13 (1929), 284-303; JE Littlewood, Journal London Math. Soc, 4 (1929), 305-307. In the first of these papers a less strong result (Theorem I) is stated, but the method used easily gives the inequality (1.1). J This identity has already been used for the same purpose by Kolmogoroff, Fundamenta Math., 7 (1925), 24-29, and M. Riesz, Math. Zeitschrift, 27 (1928), 218-244.