Electronic Journal of Differential Equations,
Conference 09 (2002), pp. 109-115.

Title: Function spaces of  $BMO$ and Campanato type.

Authors: Azzeddine El Baraka (Univ. M. Ben Abdellah, Fez, Morocco)
 
Abstract: 
  To obtain the Littlewood-Paley characterization for Campanato spaces
  $\mathcal{L}^{2,\lambda}$ modulo polynomials (which contain as special
  case the John and Nirenberg space $BMO$), we define and study a
  scale of function spaces on $\mathbb{R}^{n}$. We discuss the real
  interpolation of these spaces and some embeddings between these spaces
  and the classical spaces. These embeddings cover some classical results
  obtained by  Campanato, Strichartz, Stein and Zygmund.

Published December 28, 2002.
Math Subject Classifications: 46E35, 46B70.
Key Words:  BMO-space; Campanato spaces; Real interpolation; Sobolev embeddings.