Počet záznamů: 1

Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness

  1. 1.
    0363305 - MU-W 2012 RIV US eng J - Článek v odborném periodiku
    Caetano, A.M. - Gogatishvili, Amiran - Opic, B.
    Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness.
    Journal of Approximation Theory. Roč. 163, č. 10 (2011), s. 1373-1399 ISSN 0021-9045
    Grant CEP: GA ČR GA201/05/2033; GA ČR GA201/08/0383
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: Besov spaces with generalized smoothness * classical Lorentz spaces * Lorentz-Karamata spaces * sharp embeddings * growth envelopes
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.681, rok: 2011
    http://www.sciencedirect.com/science/article/pii/S002190451100061X

    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.
    Trvalý link: http://hdl.handle.net/11104/0199284
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