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The semigroup generated by the Dirichlet Laplacian of fractional order

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 نشر من قبل Tsukasa Iwabuchi
 تاريخ النشر 2017
  مجال البحث
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 تأليف Tsukasa Iwabuchi




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In the whole space $mathbb R^d$, linear estimates for heat semi-group in Besov spaces are well established, which are estimates of $L^p$-$L^q$ type, maximal regularity, e.t.c. This paper is concerned with such estimates for semi-group generated by the Dirichlet Laplacian of fractional order in terms of the Besov spaces on an arbitrary open set of $mathbb R^d$.



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