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M p(G)≠M q(G) (p −1+q −=1)

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Abstract

There exists a compact groupG havingM 4/3(G)≠M 4(G). This answers in the negative (the dual reformulation of) a question of Eymard (Séminaire Bourbaki, 1969/70).

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References

  1. A. Bonami,Étude des coefficients de Fourier des fonctions de L p(G), Ann. Inst. Fourier (Grenoble)20 (1970), fasc. 2, 335–402.

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  2. A. Figà-Talamanca,Multipliers vanishing at infinity for certain compact groups, Proc. Amer. Math. Soc.45 (1974) 199–203.

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  3. E. Hewitt and K. Ross,Abstract Harmonic Analysis, II, Springer-Verlag, New York, 1970.

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Authors and Affiliations

  1. Florida State University, 32306, Tallahassee, Florida, USA

    Daniel M. Oberlin

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  1. Daniel M. Oberlin
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Oberlin, D.M. M p(G)≠M q(G) (p −1+q −=1). Israel J. Math. 22, 175–179 (1975). https://doi.org/10.1007/BF02760165

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  • DOI: https://doi.org/10.1007/BF02760165

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