Geodesic
An embedding theorem for Campanato spaces
Electronic Journal of Differential Equations, Tome 2002 (2002).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     author = {El Baraka, Azzeddine},
     title = {An embedding theorem for {Campanato} spaces},
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     volume = {2002},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a6/}
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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__a6/