Remarks on compactness results for variable exponent spaces L-p(.)

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00549722" target="_blank" >RIV/67985840:_____/22:00549722 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21110/22:00357232
Result on the web
<a href="https://doi.org/10.1016/j.matpur.2021.05.012" target="_blank" >https://doi.org/10.1016/j.matpur.2021.05.012</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.matpur.2021.05.012" target="_blank" >10.1016/j.matpur.2021.05.012</a>

Result language
angličtina
Original language name
Remarks on compactness results for variable exponent spaces L-p(.)
Original language description
Given the Lebesgue space with variable exponent L^{s(·)}(Ω) whose norm is denoted by || · ||s(·), we find necessary and sufficient condition to have: lim_{|E|→0}||χ_E||_{s(·)}=0, where χ_E is the characteristic function of the measurable set E and |E| its Lebesgue measure. We apply such results to characterize the compactness of some inclusions.
Czech name
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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
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OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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