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Classic and exotic Besov spaces induced by good grids

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 نشر من قبل Daniel Smania
 تاريخ النشر 2019
  مجال البحث
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 تأليف Daniel Smania




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In a previous work we introduced Besov spaces $mathcal{B}^s_{p,q}$ defined on a measure spaces with a good grid, with $pin [1,infty)$, $qin [1,infty]$ and $0< s< 1/p$. Here we show that classical Besov spaces on compact homogeneous spaces are examples of such Besov spaces. On the other hand we show that even Besov spaces defined by a good grid made of partitions by intervals may differ from a classical Besov space, giving birth to exotic Besov spaces.

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