Embeddings of Besov spaces of logarithmic smoothness

Fernando Cobos; Óscar Domínguez

Studia Mathematica, Tome 223 (2014), p. 193-204 / Harvested from The Polish Digital Mathematics Library

Résumé

This paper deals with Besov spaces of logarithmic smoothness $B_{p, r}^{0, b}$ formed by periodic functions. We study embeddings of $B_{p, r}^{0, b}$ into Lorentz-Zygmund spaces $L_{p, q} {(l o g L)}_{β}$ . Our techniques rely on the approximation structure of $B_{p, r}^{0, b}$ , Nikol’skiĭ type inequalities, extrapolation properties of $L_{p, q} {(l o g L)}_{β}$ and interpolation.

Publié le : 2014-01-01

Zbl 1325.46039

EUDML-ID : urn:eudml:doc:285788

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     author = {Fernando Cobos and \'Oscar Dom\'\i nguez},
     title = {Embeddings of Besov spaces of logarithmic smoothness},
     journal = {Studia Mathematica},
     volume = {223},
     year = {2014},
     pages = {193-204},
     zbl = {1325.46039},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm223-3-1}
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Fernando Cobos; Óscar Domínguez. Embeddings of Besov spaces of logarithmic smoothness. Studia Mathematica, Tome 223 (2014) pp. 193-204. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm223-3-1/