Characterization of anysotropic Liouville-type mixed spaces and its application

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dc.creatorNogin, V. A.
dc.creatorOurnycheva, E. E.
dc.date2002-05-01
dc.date.accessioned2026-07-07T04:48:11Z
dc.date.available2026-07-07T04:48:11Z
dc.descriptionWithin the framework of the method of hypersingular integrals we obtain a characterization of the anysotropic spaces $L_{\bar p, \bar r}^{\bar α}$. These spaces are defined to consist of functions $f(x)\in L_{\bar r}$ for which $ F^{-1}(\sum_{j=1}^n |ξ_j|^{α_j})Ff\in L_{\bar p}, α_j>0. $ The mentioned characterization is applied to prove the denseness of the class $C_0^\infty$ in $L_{\bar p, \bar r}^{\bar α}$.
dc.descriptionLaTex, 23 pages
dc.identifierhttps://arxiv.org/abs/math/0205007
dc.identifierhttp://arxiv.org/abs/math/0205007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63951
dc.subjectClassical Analysis and ODEs
dc.titleCharacterization of anysotropic Liouville-type mixed spaces and its application
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