Geodesic
Embeddings of Besov spaces of logarithmic smoothness
Fernando Cobos1 ; Óscar Domínguez1
1Departamento de Análisis Matemático Facultad de Matemáticas Universidad Complutense de Madrid Plaza de Ciencias 3 28040 Madrid, Spain
Studia Mathematica, Tome 223 (2014) no. 3, pp. 193-204
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $L_{p,q}(\log L)_{\beta }$. Our techniques rely on the approximation structure of $B_{p,r}^{0,b}$, Nikol'skiĭ type inequalities, extrapolation properties of $L_{p,q}(\log L)_{\beta }$ and interpolation.
DOI : 10.4064/sm223-3-1
Keywords: paper deals besov spaces logarithmic smoothness formed periodic functions study embeddings lorentz zygmund spaces log beta techniques rely approximation structure nikolski type inequalities extrapolation properties log beta interpolation

Fernando Cobos  1   ; Óscar Domínguez  1

1 Departamento de Análisis Matemático Facultad de Matemáticas Universidad Complutense de Madrid Plaza de Ciencias 3 28040 Madrid, Spain 
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Fernando Cobos; Óscar Domínguez. Embeddings of Besov spaces of logarithmic smoothness. Studia Mathematica, Tome 223 (2014) no. 3, pp. 193-204. doi: 10.4064/sm223-3-1

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