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Functions of bounded mean oscillation and Hausdorff-Young type theorems

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1302)

Keywords

  • Besov Space
  • Interpolation Space
  • Bloch Space
  • Lacunary Sequence
  • Endpoint Estimate

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References

  1. Bergh, J. & Löfström, J., Interpolation spaces, Grundlehren der Mathematik 223, Springer, Berlin, 1976.

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  2. Baernstein A, Analytic functions of bounded mean oscillation in Brannan DA & Clunie JG (ed), Aspects of contemporary complex analysis, Academic Press, New York, 1980.

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  3. Boas, R.P., Integrability theorems for trigonometric transforms, Ergebnisse der Mathematik 38, Springer, Berlin, 1967.

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  4. Peetre, J., New thoughts on Besov spaces, Duke Univ. Math. series 1, Duke University, Durham, 1976.

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  5. Rivière, N. & Sagher Y., Interpolation between L and H1, the real method, J. Functional. Anal. 14, 401–409 (1973).

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  6. Sledd, W.T. & Stegenga, D.A., An H1 multiplier theorem, Ark. Mat. 19, 265–270 (1981).

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  7. Zygmund, A., Trigonometric series, Cambridge Univ. Press, Cambridge, 1968.

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© 1988 Springer-Verlag

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Bergh, J. (1988). Functions of bounded mean oscillation and Hausdorff-Young type theorems. In: Cwikel, M., Peetre, J., Sagher, Y., Wallin, H. (eds) Function Spaces and Applications. Lecture Notes in Mathematics, vol 1302. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078869

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  • DOI: https://doi.org/10.1007/BFb0078869

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18905-3

  • Online ISBN: 978-3-540-38841-8

  • eBook Packages: Springer Book Archive