Characterization of embeddings of Sobolev-type spaces into generalized Hölder spaces defined by Lp-modulus of smoothness

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00497233" target="_blank" >RIV/67985840:_____/19:00497233 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/19:10408174
Result on the web
<a href="http://dx.doi.org/10.1016/j.jfa.2018.10.023" target="_blank" >http://dx.doi.org/10.1016/j.jfa.2018.10.023</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jfa.2018.10.023" target="_blank" >10.1016/j.jfa.2018.10.023</a>

Result language
angličtina
Original language name
Characterization of embeddings of Sobolev-type spaces into generalized Hölder spaces defined by Lp-modulus of smoothness
Original language description
We prove a sharp estimate for the k-modulus of smoothness, modelled upon a Lp-Lebesgue space, of a function f in WkL[Formula presented],p(Ω), where Ω is a domain with minimally smooth boundary and finite Lebesgue measure, k,n∈N, k<n and [Formula presented]<p<+∞. This sharp estimate is used to establish necessary and sufficient conditions for continuous embeddings of Sobolev-type spaces into generalized Hölder spaces defined by means of the k-modulus of smoothness. General results are illustrated with examples. In particular, we obtain a generalization of the classical Jawerth embeddings.
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
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA18-00580S" target="_blank" >GA18-00580S: Function Spaces and Approximation</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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