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On Interpolation of Weak-Type Operators

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General Inequalities 2

Abstract

It is the aim of this paper to describe all optimal interpolation pairs for the Banach couples of Lorentz spaces that occur in the theorem of Marcinkiewicz.

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References

  1. C. Bennett, Banach function spaces and interpolation methods. I. The abstract theory, Journ. of Functional Analysis 17 (1974), 409–440; II. Interpolation of weak type operators, Linear Operators and Approximation, Proc. Conf. Oberwolfach 1974, pp. 129–139, Birkhäuser Verlag (ISNM 25), Stuttgart-Basel, 1975.

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  2. D. W. Boyd, Indices of function spaces and their relationship to interpolation, Canad. J. Math. 21 (1969), 1245–1254.

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  3. P. L. Butzer and H. Berens, Semi-Groups of Operators and Approximation, Grundlehren 145, Springer Verlag, Berlin-Heidelberg-New York, 1967.

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  4. A. P. Calderón, Spaces between L1 and L∞ and the theorem of Marcinkiewicz, Studia Math. 26 (1966), 273–299.

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  5. D. Gaşpar and Şt. Bisz, On an abstract interpolation method, Analele Univ. Timişoara, Ser. Şt. Mat., XVI, 2 (1978), 119–139.

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  6. S. G. Krein, Ju. I. Petunin, E. M. Semenov, Interpolijatzja lineinih operatoroy, Moskwa, Nauka, 1978.

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  7. W. A.J. Luxemburg, Rearrangement-invariant Banach function spaces, Queen’s Paper in Pure and Applied Mathematics 10 (1967), 83–144.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Timişoara, 1900, Timişoara, S. R. Romania

    Dumitru Gaşpar

Authors
  1. Dumitru Gaşpar
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Editor information

Editors and Affiliations

  1. University of California, Los Angeles, USA

    E. F. Beckenbach

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© 1980 Springer Basel AG

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Gaşpar, D. (1980). On Interpolation of Weak-Type Operators. In: Beckenbach, E.F. (eds) General Inequalities 2. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 47. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6324-7_24

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  • DOI: https://doi.org/10.1007/978-3-0348-6324-7_24

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-1056-1

  • Online ISBN: 978-3-0348-6324-7

  • eBook Packages: Springer Book Archive

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