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Compact embeddings of Bessel-Potential-Type spaces into generalized Hölder spaces involving k-modulus of smoothness
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SYSNO ASEP 0354220 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Compact embeddings of Bessel-Potential-Type spaces into generalized Hölder spaces involving k-modulus of smoothness Author(s) Gogatishvili, Amiran (MU-W) RID, ORCID, SAI
Neves, J. S. (PT)
Opic, B. (CZ)Source Title Zeitschrift für Analysis und Ihre Anwendungen - ISSN 0232-2064
Roč. 30, č. 1 (2011), s. 1-27Number of pages 27 s. Language eng - English Country DE - Germany Keywords Bessel potentials ; Sobolev-type spaces ; rearrangement-invariant Banach function spaces Subject RIV BA - General Mathematics R&D Projects GA201/08/0383 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000289586800001 EID SCOPUS 78651373974 DOI 10.4171/ZAA/1421 Annotation We present conditions which are necessary and sufficient for compact embeddings of Bessel potential spaces H σ X(IRn ), modelled upon a rearrangement-invariant Banach function spaces X(IRn ), into generalized Hölder spaces involving k-modulus of smoothness. To this end, we derive a characterization of compact subsets of generalized Hölder spaces. We apply our results to the case when X(IRn ) is a Lorentz-Karamata space Lp,q;b(IRn ). Applications cover both superlimiting and limiting cases. 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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