Notes on Fourier Analysis (XXIX) An Extrapolation Theorem

Shigeki YANO

doi:10.2969/jmsj/00320296

Notes on Fourier Analysis (XXIX)

An Extrapolation Theorem

Shigeki YANO

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JOURNAL FREE ACCESS

1951 Volume 3 Issue 2 Pages 296-305

DOI https://doi.org/10.2969/jmsj/00320296

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Published: 1951 Received: November 21, 1949 Available on J-STAGE: August 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: August 29, 2006 Reason for correction: - Correction: TITLE Details: Wrong : Notes on Fourier Analysis (XXIX): An Extrapolation Theorem
Right : Notes on Fourier Analysis (XXIX)

Date of correction: August 29, 2006 Reason for correction: - Correction: SUBTITLE Details: Right : An Extrapolation Theorem

Date of correction: August 29, 2006 Reason for correction: - Correction: CITATION Details: Right : 1) Jessen, B., J. Marcinkiewicz and A. Zygmund, Note on the differentiability of multiple integrals, Fund. Math., 25 (1935).
2) Hardy, G. H. and J. E. Littlewood, A maximal theorem with functiontheoretic applications, Acta Math., 54 (1930).
3) Marcinkiewicz, J. Sur l'interpolation II, Studia Math., 6 (1936).
4) Marcinkiewicz, Sur quelques intégrales des type de Dini, Ann. de la Société polonaise de Math., 7 (1838).
5) Marcinkiewicz, Sur la sommabilité H_k de série de Fourier, C.R. de Paris, 203 (1939).
6) Marcinkiewicz, Sur une méthode remarquable de sommation des series doubles de Fourier, Annali Scuola Norm. Supper. de Pisa, 8 (1939).
7) Paley, R. E. A. C., A remarkable system of orthogonal functions (I), Proc. London Math. Soc., 34 (1931).
8) Riesz, M. Sur les fonctions conjugées, Math. Zeit., 27 (1927).
9) Sunouchi, G., On the trigonometrical interpolation, to appear in Proc. of Academy of Japan.
10) Sunouchi, G., Notes on Fourier Analysis (VII): On the Walsh-Karcmarz series, to appear in Bull. of Amer. Math. Soc.
11) Zygmund, A., Sur les fonction conjugées, Fund. Math., 13 (1932).
12) Zygmund, A., On the convergence and summability of power series on the circle of convergence I, Fund. Math., 30 (1938).
13) Zygmund, A., On certain integrals, Trans. Amer. Math. Soc., 64 (1948)
14) Zygmund, A., Trigonometrical series, Walsaw (1937).

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