Boundedness of functions in fractional Orlicz-Sobolev spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10475502" target="_blank" >RIV/00216208:11320/23:10475502 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=cHt4bZCCIx" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=cHt4bZCCIx</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.na.2023.113231" target="_blank" >10.1016/j.na.2023.113231</a>

Result language
angličtina
Original language name
Boundedness of functions in fractional Orlicz-Sobolev spaces
Original language description
A necessary and sufficient condition for fractional Orlicz-Sobolev spaces to be continuously embedded into L infinity(Rn) is exhibited. Under the same assumption, any function from the relevant fractional-order spaces is shown to be continuous. Improvements of this result are also offered. They provide the optimal Orlicz target space, and the optimal rearrangement-invariant target space in the embedding in question. These results complement those already available in the subcritical case, where the embedding into L infinity(Rn) fails. They also augment a classical embedding theorem for standard fractional Sobolev spaces.(c) 2023 Elsevier Ltd. All rights reserved.
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA21-01976S" target="_blank" >GA21-01976S: Geometric and Harmonic Analysis 2</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

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

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