An embedding theorem for Campanato spaces
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 $mathcal{L}^{2,lambda}$. Ou...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2002-07-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/66/abstr.html |
| Summary: | 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]. |
|---|---|
| ISSN: | 1072-6691 |