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On various approaches to Besov-type spaces of variable smoothness

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 نشر من قبل Alexander Tyulenev
 تاريخ النشر 2015
  مجال البحث
والبحث باللغة English
 تأليف A. I. Tyulenev




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The paper is concerned with Besov spaces of variable smoothness $B^{varphi_{0}}_{p,q}(mathbb{R}^{n},{t_{k}})$, in which the norms are defined in terms of convolutions with smooth functions. A relation is found between the spaces $B^{varphi_{0}}_{p,q}(mathbb{R}^{n},{t_{k}})$ and the spaces $widetilde{B}^{l}_{p,q,r}(mathbb{R}^{n},{t_{k}})$, which were introduced earlier by the author.

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