Embeddings of Sobolev-type spaces into generalized Holder spaces involving k-modulus of smoothness

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10319624" target="_blank" >RIV/00216208:11320/15:10319624 - isvavai.cz</a>
Alternative codes found
RIV/67985840:_____/15:00442892
Result on the web
<a href="http://dx.doi.org/10.1007/s10231-013-0383-1" target="_blank" >http://dx.doi.org/10.1007/s10231-013-0383-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10231-013-0383-1" target="_blank" >10.1007/s10231-013-0383-1</a>

Result language
angličtina
Original language name
Embeddings of Sobolev-type spaces into generalized Holder spaces involving k-modulus of smoothness
Original language description
We use an estimate of the k-modulus of smoothness of a function f such that the norm of its distributional gradient $|NABLA^k f|$ belongs locally to the Lorentz space$ L^{n/k,1}(R^n)$, k in N, k less or equal n, and we prove its reverse form to establishnecessary and sufficient conditions for continuous embeddings of Sobolev-type spaces.
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
Result was created during the realization of more than one project. More information in the Projects tab.
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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