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An extension of fourier type to quasi-Banach spaces

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

Abstract

The inclusion (B0, B1)θ, p ⊂ [B0, B1]θ which is known to hold for couples of Banach spaces (B0,B1) where p depends on the Fourier types of B0 and B1 is generalized to the case of quasi Banach spaces. It turns out that when p<1 the natural extension of Fourier type p is p-normability.

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© 1988 Springer-Verlag

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Cwikel, M., Sagher, Y. (1988). An extension of fourier type to quasi-Banach spaces. 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/BFb0078873

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  • DOI: https://doi.org/10.1007/BFb0078873

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18905-3

  • Online ISBN: 978-3-540-38841-8

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