Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00460329" target="_blank" >RIV/67985840:_____/16:00460329 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/16:10335161
Result on the web
<a href="http://dx.doi.org/10.1017/S0308210515000761" target="_blank" >http://dx.doi.org/10.1017/S0308210515000761</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/S0308210515000761" target="_blank" >10.1017/S0308210515000761</a>
Alternative languages
Result language
angličtina
Original language name
Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces
Original language description
There are two main aims of the paper. The first is to extend the criterion for the precompactness of sets in Banach function spaces to the setting of quasi-Banach function spaces. The second is to extend the criterion for the precompactness of sets in the Lebesgue spaces Lp(ℝn ), 1 p < , to the so-called power quasi-Banach function spaces. These criteria are applied to establish compact embeddings of abstract Besov spaces into quasi-Banach function spaces. The results are illustrated on embeddings of Besov spaces, 0 < s < 1, 0 < p,q , into Lorentz-type spaces.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA13-14743S" target="_blank" >GA13-14743S: Function spaces, weighted inequalities and interpolation II</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Proceedings of the Royal Society of Edinburgh. A - Mathematics
ISSN
0308-2105
e-ISSN
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Volume of the periodical
146
Issue of the periodical within the volume
5
Country of publishing house
GB - UNITED KINGDOM
Number of pages
23
Pages from-to
905-927
UT code for WoS article
000385015300002
EID of the result in the Scopus database
2-s2.0-84976274317