Almost compact and compact embeddings of variable exponent spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00564919" target="_blank" >RIV/67985840:_____/23:00564919 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21110/23:00372602
Result on the web
<a href="http://https:dx.doi.org/10.4064/sm211206-24-2" target="_blank" >http://https:dx.doi.org/10.4064/sm211206-24-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4064/sm211206-24-2" target="_blank" >10.4064/sm211206-24-2</a>

Result language
angličtina
Original language name
Almost compact and compact embeddings of variable exponent spaces
Original language description
Let Ω be an open subset of R^N, and let p,q:Ω→(1,∞] be measurable functions. We give a necessary and sufficient condition for the embedding of the variable exponent space L^p(⋅)(Ω) in L^q(⋅)(Ω) to be almost compact. This leads to a condition on Ω ,p and q sufficient to ensure that the Sobolev space WL^{1,p(⋅)} (Ω) based on L^p(⋅)(Ω) is compactly embedded in L^q(⋅)(Ω), compact embedding results of this type already in the literature are included as special cases.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA18-00580S" target="_blank" >GA18-00580S: Function Spaces and Approximation</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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