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On fractional regularity of distributions of functions in Gaussian random variables

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 نشر من قبل Egor Kosov
 تاريخ النشر 2018
  مجال البحث
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 تأليف Egor Kosov




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We study fractional smoothness of measures on $mathbb{R}^k$, that are images of a Gaussian measure under mappings from Gaussian Sobolev classes. As a consequence we obtain Nikolskii--Besov fractional regularity of these distributions under some weak nondegeneracy assumption.



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