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Explicit Peetre's function of interpolation of the spaces \(H^ s_ p\) - MaRDI portal

Explicit Peetre's function of interpolation of the spaces \(H^ s_ p\) (Q1314885)

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scientific article; zbMATH DE number 508803
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Explicit Peetre's function of interpolation of the spaces \(H^ s_ p\)
scientific article; zbMATH DE number 508803

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    Explicit Peetre's function of interpolation of the spaces \(H^ s_ p\) (English)
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    3 September 1996
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    In this paper the author develops an integral representation for the Peetre's function \(K_p (t, u, h_p^{s_1}\), \(H_p^{s_2})\) and uses it to prove the identity \[ |\cdot |_{\theta, p}= \lambda|\cdot|_{p, (1-\theta) s_1+ \theta s_2}. \]
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    integral representation
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    Peetre's function
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