Geodesic
An embedding theorem for Campanato spaces
Electronic journal of differential equations, Tome 2002 (2002)
The purpose of this paper is to give a Sobolev type embedding theorem for the spaces ${\cal L}_{p,q}^{\lambda,s}(\mathbb{R}^{n})$. The homogeneous versions of these spaces contain well known spaces such as the Bounded Mean Oscillation spaces (BMO) and the Campanato spaces ${\cal L}^{2,\lambda}$. Our result extends some injections obtained by Campanato [3,4], Strichartz [11], and Stein and Zygmund [10].
Classification : 46E35
Keywords: Sobolev embeddings, BMO, campanato spaces 
@article{EJDE_2002__2002__a106,
     author = {El Baraka,  Azzeddine},
     title = {An embedding theorem for {Campanato} spaces},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {1002.46024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a106/}
}
TY  - JOUR
AU  - El Baraka,  Azzeddine
TI  - An embedding theorem for Campanato spaces
JO  - Electronic journal of differential equations
PY  - 2002
VL  - 2002
UR  - http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a106/
LA  - en
ID  - EJDE_2002__2002__a106
ER  - 
%0 Journal Article
%A El Baraka,  Azzeddine
%T An embedding theorem for Campanato spaces
%J Electronic journal of differential equations
%D 2002
%V 2002
%U http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a106/
%G en
%F EJDE_2002__2002__a106
El Baraka,  Azzeddine. An embedding theorem for Campanato spaces. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a106/