Optimal Orlicz domains in Sobolev embeddings into Marcinkiewicz spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10335142" target="_blank" >RIV/00216208:11320/16:10335142 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.jfa.2016.01.019" target="_blank" >http://dx.doi.org/10.1016/j.jfa.2016.01.019</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jfa.2016.01.019" target="_blank" >10.1016/j.jfa.2016.01.019</a>

Result language
angličtina
Original language name
Optimal Orlicz domains in Sobolev embeddings into Marcinkiewicz spaces
Original language description
In this paper we present a method for determining whether there exists a largest Orlicz space L^A(Ω) satisfying the Sobolev embedding W^m L^A(Ω) RIGHTWARDS ARROW Y(Ω) where Y(Ω) stands for an arbitrary so-called Marcinkiewicz endpoint space. The tool developed in this work enables us to investigate the optimality of Orlicz domain spaces in Sobolev embeddings and also in Sobolev trace embeddings on domains Ω in R^n with various regularity.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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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
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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