Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 66, pp. 1-17.

Title: An embedding theorem for Campanato spaces

Author: Azzeddine El Baraka (Univ. Mohamed Ben Abdellah, Morocco)
         
Abstract: 
  The purpose of this paper is to give a Sobolev type embedding theorem
  for the spaces $\mathcal{L}_{p,q}^{\lambda,s}(\mathbb{R}^{n})$.
  The homogeneous versions of these spaces contain well known spaces
  such as the Bounded Mean Oscillation spaces (BMO) and  the 
  Campanato spaces  $\mathcal{L}^{2,\lambda}$. Our result extends some 
  injections obtained by Campanato [3,4], Strichartz [11], 
  and Stein and Zygmund [10].
   
Submitted April 15, 2002. Published July 11, 2002.
Math Subject Classifications: 46E35.
Key Words: Sobolev embeddings; BMO; Campanato spaces.