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An interpolation theorem for modular spaces

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Interpolation Spaces and Allied Topics in Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1070))

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References

  1. Dunford, N., Schwartz, J.: Linear operators. New York: Interscience 1958.

    MATH  Google Scholar 

  2. Mityagin, B. S., Švarc, A. S.: Functors in the category of Banach spaces. Uspehi Mat. Nauk 19:2, 65–130 (1964) [Russian].

    MathSciNet  Google Scholar 

  3. Luxemburg, W. A. J.: Banach function spaces. Brussels 1955.

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  4. Lions, J.-L., Peetre, J.: Sur une classe d'espaces d'interpolation. Inst. Hautes Etudes Sci. Publ. Math. 19, 5–68 (1964).

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  5. Mityagin, B. S., Normed ideals of intermediate type. Izv. Akad. Nauk SSSR 28, 819–832 (1964) [Russian].

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  6. Markus, A. S.: On the eigen and the singular values of sums and products of operators. Dokl. Akad. Nauk SSSR 146, 11–14 (1962) [Russian].

    MathSciNet  Google Scholar 

  7. Hardy, G., Littlewood, D., Polya, G.: Inequalities. Cambridge: Cambridge University Press 1934.

    MATH  Google Scholar 

  8. Hall, M.: Combinatorial theory. Waltham: Blaisdell 1967.

    MATH  Google Scholar 

  9. Berge, C.: Théorie des graphes et ses applications. Paris: Dunod 1958.

    MATH  Google Scholar 

  10. Krasnoselskiĭ, M. A., Rutitskiĭ, Ja. B.: Convex functions and Orlicz spaces. Moscow: Fizmatgiz 1958 [Russian].

    Google Scholar 

  11. Zaanen, A. C.: Banach function spaces. In: Proceedings International Symposium on Linear Spaces, Jerusalem, 1960, pp. 448–452. Jerusalem: Academic Press, 1961.

    Google Scholar 

  12. Kreĭn, S. G., Semenov, E. M.: On a scale of spaces. Dokl. Akad. Nauk SSSR 138, 763–766 (1961) [Russian].

    MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Ohio State University, 231 West 18th Avenue, 43210-1174, Columbus, OHIO, USA

    Boris Mityagin

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  1. Boris Mityagin
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Michael Cwikel Jaak Peetre

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© 1984 Springer-Verlag

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Mityagin, B. (1984). An interpolation theorem for modular spaces. In: Cwikel, M., Peetre, J. (eds) Interpolation Spaces and Allied Topics in Analysis. Lecture Notes in Mathematics, vol 1070. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099089

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  • DOI: https://doi.org/10.1007/BFb0099089

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13363-6

  • Online ISBN: 978-3-540-38913-2

  • eBook Packages: Springer Book Archive

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