Hardy-Littlewood majorants in function spaces

Tetsuya SHIMOGAKI

doi:10.2969/jmsj/01740365

Tetsuya SHIMOGAKI

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JOURNAL FREE ACCESS

1965 Volume 17 Issue 4 Pages 365-373

DOI https://doi.org/10.2969/jmsj/01740365

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Published: 1965 Received: January 09, 1965 Available on J-STAGE: September 26, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 26, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) M. A. Krasnoselskii and Y. B. Ruttickii, Convex functions and Orlicz spaces (in Russian), Moscow, 1958.
2) G. Lorentz, On the theory of spaces Λ, Pacific J. Math., 1 (1951), 411-429.
3) G. Lorentz, Majorants in spaces of integrable functions, Amer. J. Math., 77 (1955), 484-492.
4) W. A. J. Luxemburg, Banach function spaces, thesis Delft, Assen (Netherlands), 1955.
5) T. Mori, I. Amemiya and H. Nakano, On the reflexivity of semi-continuous norms, Proc. Japan Acad., 31 (1955), 684-685.
6) T. Shimogaki, On the norms by uniformly finite modulars, Proc. Japan Acad., 33 (1957), 304-309.
7) T. Shimogaki, On the continuity and the monotonousness of norms. J. Fac. Sci. Hokkaido Univ. Ser. I, 16 (1962), 225-237.
8) T. Shimogaki, On an equivalence relation on semi-ordered linear spaces, J. Fac. Sci. Hokkaido Univ. Ser. I, 18 (1964), 41-55.
9) A. Zygmund, Trigonometric series, Vol. 1, Cambridge, 1959.

Right : [1] M. A. Krasnoselskii and Y. B. Ruttickii, Convex functions and Orlicz spaces (in Russian), Moscow, 1958.
[2] G. Lorentz, On the theory of spaces Λ, Pacific J. Math., 1 (1951), 411-429.
[3] G. Lorentz, Majorants in spaces of integrable functions, Amer. J. Math., 77 (1955), 484-492.
[4] W. A. J. Luxemburg, Banach function spaces, thesis Delft, Assen (Netherlands), 1955.
[5] T. Mori, I. Amemiya and H. Nakano, On the reflexivity of semi-continuous norms, Proc. Japan Acad., 31 (1955), 684-685.
[6] T. Shimogaki, On the norms by uniformly finite modulars, Proc. Japan Acad., 33 (1957), 304-309.
[7] T. Shimogaki, On the continuity and the monotonousness of norms. J. Fac. Sci. Hokkaido Univ. Ser. I, 16 (1962), 225-237.
[8] T. Shimogaki, On an equivalence relation on semi-ordered linear spaces, J. Fac. Sci. Hokkaido Univ. Ser. I, 18 (1964), 41-55.
[9] A. Zygmund, Trigonometric series, Vol. 1, Cambridge, 1959.

Date of correction: September 26, 2006 Reason for correction: - Correction: PDF FILE Details: -

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