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Lower bounds of cowidths and widths of multiplier operators

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dc.contributor.author Kushpel, Alexander
dc.date.accessioned 2022-06-15T11:29:55Z
dc.date.available 2022-06-15T11:29:55Z
dc.date.issued 2022-04
dc.identifier.citation Kushpel, Alexander (2022). "Lower bounds of cowidths and widths of multiplier operators", Journal of Complexity, Vol. 69. tr_TR
dc.identifier.issn 0885-064X
dc.identifier.uri http://hdl.handle.net/20.500.12416/5616
dc.description.abstract The main objective of this article is to present new results on optimal reconstruction of function classes on probability spaces (Ω,A,ν) in the standard Lq spaces. We consider the problem of optimal reconstruction in the sense of the respective cowidths of standard function classes ΛUp generated by multiplier or pseudo differential operators Λ:Lp→Lq, 1≤p,q≤∞. Our approach is based on the estimates of volumes of John-Löwner ellipsoids and expectations of norms induced by orthonormal systems on (Ω,A,ν). It is shown that the results obtained are order sharp in many cases. In particular, we obtain sharp orders of entropy of Sobolev classes W∞γ, γ>0 in L1 and n-widths of ΛUp in Lq, 1<q≤p<∞ in the case of two-point homogeneous spaces and torus. © 2021 Elsevier Inc. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.jco.2021.101614 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Convex Body tr_TR
dc.subject Cowidth tr_TR
dc.subject Multiplier tr_TR
dc.subject Volume tr_TR
dc.title Lower bounds of cowidths and widths of multiplier operators tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Complexity tr_TR
dc.contributor.authorID 279144 tr_TR
dc.identifier.volume 69 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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