Higher-order Sobolev-type embeddings on Carnot-Carathéodory spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10370813" target="_blank" >RIV/00216208:11320/17:10370813 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1002/mana.201500418" target="_blank" >http://dx.doi.org/10.1002/mana.201500418</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mana.201500418" target="_blank" >10.1002/mana.201500418</a>

Result language
angličtina
Original language name
Higher-order Sobolev-type embeddings on Carnot-Carathéodory spaces
Original language description
A sufficient condition for higher-order Sobolev-type embeddings on bounded domains of Carnot-Carathéodory spaces is established for the class of rearrangement-invariant function spaces. The condition takes form of a one-dimensional inequality for suitable integral operators depending on the isoperimetric function relative to the Carnot-Carathéodory structure of the relevant sets. General results are then applied to particular Sobolev spaces built upon Lebesgue, Lorentz and Orlicz spaces on John domains in the Heisenberg group. In the case of the Heisenberg group, the condition is shown to be necessary as well.
Czech name
—
Czech description
—

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
—
Continuities
S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)