Optimal Domain Spaces in Orlicz-Sobolev Embeddings

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10408286" target="_blank" >RIV/00216208:11320/19:10408286 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=9fP8ehS24q" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=9fP8ehS24q</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1512/iumj.2019.68.7649" target="_blank" >10.1512/iumj.2019.68.7649</a>

Result language
angličtina
Original language name
Optimal Domain Spaces in Orlicz-Sobolev Embeddings
Original language description
We deal with Orlicz-Sobolev embeddings in open subsets of R-n. A necessary and sufficient condition is established for the existence of an optimal (i.e., largest possible) Orlicz-Sobolev space continuously embedded into a given Orlicz space. Moreover, the optimal Orlicz-Sobolev space is shown whenever it exists. Parallel questions are addressed for Orlicz-Sobolev embeddings into Orlicz spaces with respect to a Frostman measure, and, in particular, for trace embeddings on the boundary.
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/GA13-14743S" target="_blank" >GA13-14743S: Function spaces, weighted inequalities and interpolation II</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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