Quasi-equivalence of bases in some Whitney spaces

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buir.contributor.authorGoncharov, Alexander
buir.contributor.authorŞengül, Yasemin
buir.contributor.orcidGoncharov, Alexander|0000-0002-6497-3114
buir.contributor.orcidŞengül, Yasemin|0000-0001-5923-3173
dc.citation.epage115en_US
dc.citation.issueNumber1en_US
dc.citation.spage106en_US
dc.citation.volumeNumber65en_US
dc.contributor.authorGoncharov, Alexander
dc.contributor.authorŞengül, Yasemin
dc.date.accessioned2022-04-28T12:41:25Z
dc.date.available2022-04-28T12:41:25Z
dc.date.issued2021-05-18
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractIf the logarithmic dimension of a Cantor-type set K is smaller than 1 , then the Whitney space E(K) possesses an interpolating Faber basis. For any generalized Cantor-type set K, a basis in E(K) can be presented by means of functions that are polynomials locally. This gives a plenty of bases in each space E(K) . We show that these bases are quasi-equivalent.en_US
dc.identifier.doi10.4153/S0008439521000114en_US
dc.identifier.eissn1496-4287
dc.identifier.issn0008-4395
dc.identifier.urihttp://hdl.handle.net/11693/78177
dc.language.isoEnglishen_US
dc.publisherCambridge University Pressen_US
dc.relation.isversionofhttps://dx.doi.org/10.4153/S0008439521000114en_US
dc.source.titleCanadian Mathematical Bulletinen_US
dc.subjectTopological basesen_US
dc.subjectWhitney spacesen_US
dc.subjectQuasi-equivalenceen_US
dc.titleQuasi-equivalence of bases in some Whitney spacesen_US
dc.typeArticleen_US

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