<div class="csl-bib-body">
<div class="csl-entry">Wang, T. (2012). The affine Sobolev–Zhang inequality on BV(ℝ<sup>n</sup>). <i>Advances in Mathematics</i>, <i>230</i>(4–6), 2457–2473. https://doi.org/10.1016/j.aim.2012.04.022</div>
</div>
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dc.identifier.issn
0001-8708
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/163735
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dc.description.abstract
The affine Sobolev–Zhang inequality is extended to BV(ℝⁿ), the space of functions of bounded variation on ℝⁿ , and the equality cases are characterized. As a consequence, the Petty projection inequality for sets of finite perimeter, which implies the isoperimetric inequality for sets of finite perimeter, is established.
en
dc.language.iso
en
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dc.publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
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dc.relation.ispartof
Advances in Mathematics
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dc.subject
General Mathematics
en
dc.subject
Sets of finite perimeter
en
dc.subject
The affine Sobolev–Zhang inequality
en
dc.subject
The Petty projection ienquality
en
dc.title
The affine Sobolev–Zhang inequality on BV(ℝⁿ)
en
dc.type
Artikel
de
dc.type
Article
en
dc.description.startpage
2457
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dc.description.endpage
2473
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dcterms.dateSubmitted
2011-10-26
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dc.type.category
Original Research Article
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tuw.container.volume
230
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tuw.container.issue
4-6
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tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
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tuw.researchTopic.id
X1
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tuw.researchTopic.name
außerhalb der gesamtuniversitären Forschungsschwerpunkte
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tuw.researchTopic.value
100
-
dcterms.isPartOf.title
Advances in Mathematics
-
tuw.publication.orgunit
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
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tuw.publisher.doi
10.1016/j.aim.2012.04.022
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dc.date.onlinefirst
2012-05-23
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dc.identifier.eissn
1090-2082
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dc.description.numberOfPages
17
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wb.sci
true
-
wb.sciencebranch
Mathematik, Informatik
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wb.sciencebranch.oefos
11
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wb.facultyfocus
Diskrete Mathematik und Geometrie
de
wb.facultyfocus
Discrete Mathematics and Geometry
en
wb.facultyfocus.faculty
E100
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item.languageiso639-1
en
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item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
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item.fulltext
no Fulltext
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item.openairetype
research article
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item.grantfulltext
none
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item.cerifentitytype
Publications
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crisitem.author.dept
E104 - Institut für Diskrete Mathematik und Geometrie