Variable Step Mollifiers and Applications

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dc.bibliographicCitation.firstPage53eng
dc.bibliographicCitation.issue6eng
dc.bibliographicCitation.journalTitleIntegral equations and operator theory : IEOTeng
dc.bibliographicCitation.volume92eng
dc.contributor.authorHintermüller, Michael
dc.contributor.authorPapafitsoros, Kostas
dc.contributor.authorRautenberg, Carlos N.
dc.date.accessioned2021-11-16T06:46:31Z
dc.date.available2021-11-16T06:46:31Z
dc.date.issued2020
dc.description.abstractWe consider a mollifying operator with variable step that, in contrast to the standard mollification, is able to preserve the boundary values of functions. We prove boundedness of the operator in all basic Lebesgue, Sobolev and BV spaces as well as corresponding approximation results. The results are then applied to extend recently developed theory concerning the density of convex intersections. © 2020, The Author(s).eng
dc.description.versionpublishedVersioneng
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/7296
dc.identifier.urihttps://doi.org/10.34657/6343
dc.language.isoengeng
dc.publisherBerlin ; Heidelberg : Springereng
dc.relation.doihttps://doi.org/10.1007/s00020-020-02608-2
dc.relation.essn1420-8989
dc.rights.licenseCC BY 4.0 Unportedeng
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/eng
dc.subject.ddc510eng
dc.subject.ddc004eng
dc.subject.otherBoundary valueseng
dc.subject.otherDensity of convex setseng
dc.subject.otherIntegral operatorseng
dc.subject.otherMollificationeng
dc.titleVariable Step Mollifiers and Applicationseng
dc.typeArticleeng
dc.typeTexteng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeZeitschriftenartikeleng
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