Characterizations of Sobolev spaces via averages on balls

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00446760" target="_blank" >RIV/67985840:_____/15:00446760 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.na.2015.07.024" target="_blank" >http://dx.doi.org/10.1016/j.na.2015.07.024</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.na.2015.07.024" target="_blank" >10.1016/j.na.2015.07.024</a>

Result language
angličtina
Original language name
Characterizations of Sobolev spaces via averages on balls
Original language description
In this paper, the authors prove several equivalent characterizations of Sobolev spaces of even integer orders on ..., using the average ... of a function f over the ball ... with ... and .... These characterizations rely only on the metric and the Lebesgue measure on ... and are simpler than those obtained recently by Alabern et al. [Math. Ann. 354 (2012), 589-626]. Moreover, these results may shed new light on the theory of high order Sobolev spaces on spaces of homogeneous type.
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
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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