Počet záznamů: 1

Compact embeddings of Bessel-Potential-Type spaces into generalized Hölder spaces involving k-modulus of smoothness

  1. 1.
    0354220 - MU-W 2012 RIV DE eng J - Článek v odborném periodiku
    Gogatishvili, Amiran - Neves, J. S. - Opic, B.
    Compact embeddings of Bessel-Potential-Type spaces into generalized Hölder spaces involving k-modulus of smoothness.
    Zeitschrift für Analysis und Ihre Anwendungen. Roč. 30, č. 1 (2011), s. 1-27 ISSN 0232-2064
    Grant CEP: GA ČR GA201/08/0383
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: Bessel potentials * Sobolev-type spaces * rearrangement-invariant Banach function spaces
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.327, rok: 2011
    http://www.ems-ph.org/journals/show_abstract.php?issn=0232-2064&vol=30&iss=1&rank=1

    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.
    Trvalý link: http://hdl.handle.net/11104/0193271