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.
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
Affiliations des auteurs :
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
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
@article{10_4064_sm223_3_1,
author = {Fernando Cobos and \'Oscar Dom{\'\i}nguez},
title = {Embeddings of {Besov} spaces of logarithmic smoothness},
journal = {Studia Mathematica},
pages = {193--204},
year = {2014},
volume = {223},
number = {3},
doi = {10.4064/sm223-3-1},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm223-3-1/}
}
TY - JOUR
AU - Fernando Cobos
AU - Óscar Domínguez
TI - Embeddings of Besov spaces of logarithmic smoothness
JO - Studia Mathematica
PY - 2014
SP - 193
EP - 204
VL - 223
IS - 3
UR - http://geodesic.mathdoc.fr/articles/10.4064/sm223-3-1/
DO - 10.4064/sm223-3-1
LA - en
ID - 10_4064_sm223_3_1
ER -
%0 Journal Article
%A Fernando Cobos
%A Óscar Domínguez
%T Embeddings of Besov spaces of logarithmic smoothness
%J Studia Mathematica
%D 2014
%P 193-204
%V 223
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/sm223-3-1/
%R 10.4064/sm223-3-1
%G en
%F 10_4064_sm223_3_1
