<div class="csl-bib-body">
<div class="csl-entry">Jain, P., Molchanova, A., Singh, M., & Vodopyanov, S. (2021). On grand Sobolev spaces and pointwise description of Banach function spaces. <i>Nonlinear Analysis: Theory, Methods and Applications</i>, <i>202</i>(112100), 112100. https://doi.org/10.1016/j.na.2020.112100</div>
</div>
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dc.identifier.issn
0362-546X
-
dc.identifier.uri
http://hdl.handle.net/20.500.12708/137153
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dc.description.abstract
We obtain a pointwise description of functions belonging to function spaces with the lattice property. In particular, it is valid for Banach function spaces provided that the Hardy-Littlewood maximal operator is bounded. We also study weighted grand Sobolev spaces, defined on arbitrary open sets (of finite or infinite measure), and provide pointwise description of them.
en
dc.language.iso
en
-
dc.relation.ispartof
Nonlinear Analysis: Theory, Methods and Applications
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dc.subject
Applied Mathematics
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dc.subject
Analysis
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dc.subject
Banach function space
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dc.subject
Grand Sobolev space
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dc.subject
Maximal function
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dc.subject
Pointwise description
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dc.title
On grand Sobolev spaces and pointwise description of Banach function spaces
en
dc.type
Artikel
de
dc.type
Article
en
dc.description.startpage
112100
-
dc.type.category
Original Research Article
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tuw.container.volume
202
-
tuw.container.issue
112100
-
tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
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wb.publication.intCoWork
International Co-publication
-
tuw.researchTopic.id
C4
-
tuw.researchTopic.name
Mathematical and Algorithmic Foundations
-
tuw.researchTopic.value
100
-
dcterms.isPartOf.title
Nonlinear Analysis: Theory, Methods and Applications
-
tuw.publication.orgunit
E101-01 - Forschungsbereich Analysis
-
tuw.publisher.doi
10.1016/j.na.2020.112100
-
dc.identifier.eissn
1873-5215
-
dc.description.numberOfPages
17
-
tuw.author.orcid
0000-0003-4121-2192
-
wb.sci
true
-
wb.sciencebranch
Mathematik
-
wb.sciencebranch.oefos
1010
-
wb.facultyfocus
Analysis und Scientific Computing
de
wb.facultyfocus
Analysis and Scientific Computing
en
wb.facultyfocus.faculty
E100
-
item.languageiso639-1
en
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item.cerifentitytype
Publications
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item.cerifentitytype
Publications
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no Fulltext
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item.openairetype
Artikel
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item.openairetype
Article
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http://purl.org/coar/resource_type/c_18cf
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http://purl.org/coar/resource_type/c_18cf
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item.grantfulltext
none
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crisitem.author.dept
E101-01 - Forschungsbereich Analysis
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crisitem.author.orcid
0000-0003-4121-2192
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crisitem.author.parentorg
E101 - Institut für Analysis und Scientific Computing
