In this paper, we study anisotropic Bessel potential and Besov spaces, where the anisotropy measures the extra amount of regularity in certain directions. Some basic properties of these spaces are established along with applications to elliptic boundary value problems.
- Pub Date:
- October 2010
- Mathematics - Classical Analysis and ODEs;
- Mathematics - Analysis of PDEs;
- 20 pages. Corrected some typos and incorporated suggestions from referees. To appear in Math. Nachr