Dorothee D. Haroske, Erika Tamási

On Weakly Primary Ideals

This paper deals with wavelet frames in anisotropic Besov spaces $B_{pq}^{s,a}(\mathbb{R}^n)$, $s\in\mathbb{R}$, $0<p,q\leq\infty$, and $a=(a_1,\dots,a_n)$ is an anisotropy, with $a_i>0$, $i=1,\dots,n$, $a_1+ \cdots + a_n=n$. We present sub-atomic and wavelet decompositions for a large class of distributions. To some extent our results can be regarded as anisotropic counterparts of those recently obtained by H. Triebel in 2003.

Anisotropic function spaces, sub-atomic decomposition, wavelet decomposition, wavelet frames.

MSC 2000: 46E35, 42B35, 42C40