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Random processes in Sobolev-Orlicz spaces

We establish conditions under which the trajectories of random processes from Orlicz spaces of random variables belong with probability one to Sobolev-Orlicz functional spaces, in particular to the classical Sobolev spaces defined on the entire real axis. This enables us to estimate the rate of conv...

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Bibliographic Details
Date:	2006
Main Authors:	Kozachenko, Yu. V., Yakovenko, T. O., Козаченко, Ю. В., Яковенко, Т. О.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2006
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3537
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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