Variable step mollifiers and applications
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 2628 | |
| dc.contributor.author | Hintermüller, Michael | |
| dc.contributor.author | Papafitsoros, Kostas | |
| dc.contributor.author | Rautenberg, Carlos N. | |
| dc.date.accessioned | 2022-06-23T14:40:42Z | |
| dc.date.available | 2022-06-23T14:40:42Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | We 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. | eng |
| dc.description.version | publishedVersion | eng |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9212 | |
| dc.identifier.uri | https://doi.org/10.34657/8250 | |
| dc.language.iso | eng | |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
| dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2628 | |
| dc.relation.hasversion | https://doi.org/10.1007/s00020-020-02608-2 | |
| dc.relation.issn | 2198-5855 | |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
| dc.subject.ddc | 510 | |
| dc.subject.other | Mollification | eng |
| dc.subject.other | integral operators | eng |
| dc.subject.other | boundary values | eng |
| dc.subject.other | density of convex sets | eng |
| dc.title | Variable step mollifiers and applications | eng |
| dc.type | Report | eng |
| dc.type | Text | eng |
| dcterms.extent | 31 S. | |
| tib.accessRights | openAccess | |
| wgl.contributor | WIAS | |
| wgl.subject | Mathematik | |
| wgl.type | Report / Forschungsbericht / Arbeitspapier |
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