Reduction theorems for Sobolev embeddings into the spaces of Holder, Morrey and Campanato type

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10372610" target="_blank" >RIV/00216208:11320/16:10372610 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1002/mana.201500043" target="_blank" >http://dx.doi.org/10.1002/mana.201500043</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mana.201500043" target="_blank" >10.1002/mana.201500043</a>

Result language
angličtina
Original language name
Reduction theorems for Sobolev embeddings into the spaces of Holder, Morrey and Campanato type
Original language description
Let X be a rearrangement-invariant Banach function space on Q where Q is a cube in R-n and let V-1 X( Q) be the Sobolev space of real-valued weakly differentiable functions f satisfying vertical bar del f vertical bar is an element of X(Q). We establish a reduction theorem for an embedding of the Sobolev space V-1 X( Q) into spaces of Campanato, Money and Holder type. As a result we obtain a new characterization of such embeddings in terms of boundedness of a certain one-dimensional integral operator on representation spaces. (C) 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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