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Kolmogorov Widths and Entropy Numbers in the Orlicz Spaces with Luxembourg Norm

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Ukrainian Mathematical Journal Aims and scope

We establish the exact-order estimates of the Kolmogorov widths and entropy numbers for unit balls from the binary Besov spaces dyad \( {B}_{p,\theta}^{0,\gamma } \) compactly embedded in the exponential Orlicz spaces exp Lν equipped with the Luxembourg norm.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    V. S. Romanyuk

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  1. V. S. Romanyuk
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, No. 5, pp. 682–694, May, 2017.

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Romanyuk, V.S. Kolmogorov Widths and Entropy Numbers in the Orlicz Spaces with Luxembourg Norm. Ukr Math J 69, 796–810 (2017). https://doi.org/10.1007/s11253-017-1396-5

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  • DOI: https://doi.org/10.1007/s11253-017-1396-5

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