SHARP SOBOLEV TYPE EMBEDDINGS ON THE ENTIRE EUCLIDEAN SPACE

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10390823" target="_blank" >RIV/00216208:11320/18:10390823 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.3934/cpaa.2018096" target="_blank" >https://doi.org/10.3934/cpaa.2018096</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/cpaa.2018096" target="_blank" >10.3934/cpaa.2018096</a>

Result language
angličtina
Original language name
SHARP SOBOLEV TYPE EMBEDDINGS ON THE ENTIRE EUCLIDEAN SPACE
Original language description
A comprehensive approach to Sobolev type embeddings, involving arbitrary rearrangement-invariant norms on the entire Euclidean space R-n, is offered. In particular, the optimal target space in any such embedding is exhibited. Crucial in our analysis is a new reduction principle for the relevant embeddings, showing their equivalence to a couple of considerably simpler one-dimensional inequalities. Applications to the classes of the Orlicz-Sobolev and the Lorentz-Sobolev spaces are also presented. These contributions fill in a gap in the existing literature, where sharp results in such a general setting are only available for domains of finite measure.
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
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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