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.