Two-level-split decomposition of anisotropic Besov spaces

A 2007 Preprint by W. Dahmen, S. Dekel, and P. Petrushev

• 2007:01

• Anisotropic Besov spaces (B-spaces) are developed based on anisotropic multilevel ellipsoid covers (dilations) of $R^n$. This extends earlier results on anisotropic Besov spaces. Furthermore, sequences of anisotropic bases are constructed and utilized for two-level-split decompositions of the B-spaces and nonlinear m-term approximation.