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__a206,
     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__a206/}
}
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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__a206/