On the Limit as s -> 0+of Fractional Orlicz-Sobolev Spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10421890" target="_blank" >RIV/00216208:11320/20:10421890 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=j6VZrO8aRJ" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=j6VZrO8aRJ</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00041-020-09785-z" target="_blank" >10.1007/s00041-020-09785-z</a>

Result language
angličtina
Original language name
On the Limit as s -> 0+of Fractional Orlicz-Sobolev Spaces
Original language description
An extended version of the Maz'ya-Shaposhnikova theorem on the limit as s -> 0(+) of the Gagliardo-Slobodeckij fractional seminorm is established in the Orlicz space setting. Our result holds in fractional Orlicz-Sobolev spaces associated with Young functions satisfying the Delta(2)-condition, and, as shown by counterexamples, it may fail if this condition is dropped.
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
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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