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Descriptions of some interpolation spaces in off-diagonal cases

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

Keywords

  • Besov Space
  • Topological Vector Space
  • Lorentz Space
  • Interpolation Space
  • Hausdorff Topological Vector Space

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Assoud, P.: Factorisation des applications Λp-sommantes. Seminaire Maurey Schwartz, expose 11 (1973–1974).

    Google Scholar 

  2. Bergh, J., Löfström, J.: Interpolation spaces. An introduction. Springer Verlag. Berlin-Heidelberg-New York (1976).

    CrossRef  MATH  Google Scholar 

  3. Beurling, A.: Construction and analysis of some convolution algebras. Ann. Inst. Fourier 14, 1–32 (1964).

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Cwikel, M.: On \((L^{p_0 } (A_0 ),L^{p_1 } (A_1 ))_{\theta ,q}\). Proc. Amer. Math. Soc. 44 (2), 286–292 (1974).

    MathSciNet  MATH  Google Scholar 

  5. Fell, J.M.G.: Induced representations and Banach *-algebraic bundles. Lecture notes in mathematics 582. Berlin-Heidelberg-New York: Springer Verlag (1977).

    MATH  Google Scholar 

  6. Freitag, D.: Real interpolation of weighted Lp-spaces. Math. Nachr. 86, 15–18 (1978).

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Gilbert, J.E.: Interpolation between weighted Lp-spaces. Ark. Mat. 10, 235–249 (1972).

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Herz, C.S.: Lipschitz spaces and Bernstein's theorem on absolutely convergent Fourier Transforms. J. Math. Mech. 18, 283–324 (1968).

    MathSciNet  MATH  Google Scholar 

  9. Krepkogorskii, V.L.: On interpolation in Besov spaces. Izv. Vyssh. Uchebn. Zaved. Mat, no. 9, 73–75, (1981). [Russian]. Soviet Math. (Iz. VUZ) 25, no. 9, 95–97 (1981).

    Google Scholar 

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

    Google Scholar 

  11. Lizorkin, P.I.: Interpolation of Lp-spaces with a weight. Trudy Mat. Inst. Steklov 140 (1976) [Russian].; Proc. of the Steklov Inst. Math. (No. 1), 221–232 (1979).

    Google Scholar 

  12. Peetre, J.: A new approach in interpolation spaces. Studia Math. 34, 23–42 (1970).

    MathSciNet  MATH  Google Scholar 

  13. Peetre, J.: A theory of interpolation of normed spaces. Lecture notes, Brasília (1963). [Notas de matematica 39, 1–86 (1968)].

    Google Scholar 

  14. Peetre, J.: Complex section theory, a generalization of complex function theory. Technical report, Lund (1982); Conference on Interpolation spaces, Lund (1982).

    Google Scholar 

  15. Peetre, J.: New thoughts on Besov spaces. Duke Univ. Math. Series, Durham (1976).

    Google Scholar 

  16. Peetre, J.: On interpolation of Lp-spaces with weight functions. Acta. Sci. Math. 28, 61–69 (1967).

    MathSciNet  MATH  Google Scholar 

  17. Persson, L-E.: An exact description of Lorentz spaces. Technical report, Luleå (1982). To appear in Acta. Sci. Math.

    Google Scholar 

  18. Persson, L-E.: On interpolation between Lorentz spaces, manuscript (1983).

    Google Scholar 

  19. Triebel, H.: Interpolation Theory, Function Spaces, Differential Operators. Amsterdam: North Holland 1978.

    MATH  Google Scholar 

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© 1984 Springer-Verlag

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Persson, LE. (1984). Descriptions of some interpolation spaces in off-diagonal cases. 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/BFb0099104

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  • DOI: https://doi.org/10.1007/BFb0099104

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13363-6

  • Online ISBN: 978-3-540-38913-2

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