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Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness
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SYSNO ASEP 0363305 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness Author(s) Caetano, A.M. (PT)
Gogatishvili, Amiran (MU-W) RID, ORCID, SAI
Opic, B. (CZ)Source Title Journal of Approximation Theory. - : Elsevier - ISSN 0021-9045
Roč. 163, č. 10 (2011), s. 1373-1399Number of pages 27 s. Language eng - English Country US - United States Keywords Besov spaces with generalized smoothness ; classical Lorentz spaces ; Lorentz-Karamata spaces ; sharp embeddings ; growth envelopes Subject RIV BA - General Mathematics R&D Projects GA201/05/2033 GA ČR - Czech Science Foundation (CSF) GA201/08/0383 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000295063500002 EID SCOPUS 80051573030 DOI 10.1016/j.jat.2011.03.005 Annotation We characterize local embeddings of Besov spaces B^{0,b}_{p,r} involving only a slowly varying smoothness b into classical Lorentz spaces. These results are applied to establish sharp local embeddings of the Besov spaces in question into Lorentz–Karamata spaces. As a consequence of these results, we are able to determine growth envelopes of spaces B^{0,b}_{p,r} and to show that we cannot describe all local embeddings of Besov spaces B^{0,b}_{p,r} into Lorentz–Karamata spaces in terms of growth envelopes. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2012
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