Azzeddine El Baraka
The purpose of this paper is to give a Sobolev type embedding theorem for the spaces . The homogeneous versions of these spaces contain well known spaces such as the Bounded Mean Oscillation spaces (BMO) and the Campanato spaces . Our result extends some injections obtained by Campanato [3,4], Strichartz , and Stein and Zygmund .
Submitted April 15, 2002. Published July 11, 2002.
Math Subject Classifications: 46E35.
Key Words: Sobolev embeddings, BMO, Campanato spaces.
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| Azzeddine El Baraka |
Universite Mohamed Ben Abdellah, FST Fes-Saiss
Departement de Mathematiques
BP2202, Route Immouzer
Fes 30000 Morocco
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