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Order of Approximation of Besov Classes in the Metric of Anisotropic Lorentz Spaces

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Methods of Fourier Analysis and Approximation Theory

Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

Abstract

In this work the sharp estimate of the order of approximation of the Besov classes \(B_{\mathbf{pr}(\mathbb{T}^{\mathbf{d}})}^{\boldsymbol{\alpha \theta }}\) in the metric of anisotropic Lorentz spaces \(L_{\boldsymbol{q\theta }(\mathbb{T}^{\mathbf{d}})}\) is obtained.

Mathematics Subject Classification (2010). Primary 41A46, 41A63, Secondary 42C40

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Acknowledgements

The research was supported by the Committee of Science of the Ministry of Education and Science of Republic of Kazakhstan (Grant 0816/GF4).

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Authors and Affiliations

  1. Lomonosov Moscow State University, Kazakhstan branch, Kazhymukan Street 11, 010010, Astana, Kazakhstan

    K. A. Bekmaganbetov

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  1. K. A. Bekmaganbetov
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Correspondence to K. A. Bekmaganbetov .

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Editors and Affiliations

  1. Department of Mathematics, Imperial College London, London, United Kingdom

    Michael Ruzhansky

  2. ICREA Research Professor, Centre de Recerca Matemàtica, Barcelona, Spain

    Sergey Tikhonov

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Bekmaganbetov, K.A. (2016). Order of Approximation of Besov Classes in the Metric of Anisotropic Lorentz Spaces. In: Ruzhansky, M., Tikhonov, S. (eds) Methods of Fourier Analysis and Approximation Theory. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-27466-9_10

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