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A new approach to the theory of the function spaces \(B^ r_{p,\theta}\) on the sphere - MaRDI portal

A new approach to the theory of the function spaces \(B^ r_{p,\theta}\) on the sphere (Q583549)

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scientific article; zbMATH DE number 4132884
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A new approach to the theory of the function spaces \(B^ r_{p,\theta}\) on the sphere
scientific article; zbMATH DE number 4132884

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    A new approach to the theory of the function spaces \(B^ r_{p,\theta}\) on the sphere (English)
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    1989
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    The authors consider the new approach to the definition of the Besov space on the unit sphere in \(R^ n\) [see, for congruence, the authors, Mat. Zametki 41, No.4, 509-516 (1987; Zbl 0656.42002)]. They describe the equivalent norms in these spaces which are induced by the best approximations by polynomials.
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    Besov space
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    best approximations by polynomials
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