Compactness of Sobolev-type embeddings with measures
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10441252" target="_blank" >RIV/00216208:11320/21:10441252 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21230/22:00363389
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=ExvvIICjqw" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=ExvvIICjqw</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S021919972150036X" target="_blank" >10.1142/S021919972150036X</a>
Alternative languages
Result language
angličtina
Original language name
Compactness of Sobolev-type embeddings with measures
Original language description
We study compactness of embeddings of Sobolev-type spaces of arbitrary integer order into function spaces on domains in ℝn with respect to upper Ahlfors regular measures ν, that is, Borel measures whose decay on balls is dominated by a power of their radius. Sobolev-type spaces as well as target spaces considered in this paper are built upon general rearrangement-invariant function norms. Several sufficient conditions for compactness are provided and these conditions are shown to be often also necessary, yielding sharp compactness results. It is noteworthy that the only connection between the measure ν and the compactness criteria is how fast the measure decays on balls. Applications to Sobolev-type spaces built upon Lorentz-Zygmund norms are also presented.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Communications in Contemporary Mathematics
ISSN
0219-1997
e-ISSN
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Volume of the periodical
24
Issue of the periodical within the volume
9
Country of publishing house
SG - SINGAPORE
Number of pages
41
Pages from-to
1-41
UT code for WoS article
000875481200011
EID of the result in the Scopus database
2-s2.0-85106162119