Widths of embeddings of 2-microlocal Besov spaces
arXiv:1105.3021
Originality Synthesis-oriented
AI Analysis
Provides sharp theoretical bounds for functional analysis problems involving irregular domains, but is incremental for specialists.
The paper derives sharp asymptotic estimates for approximation, Gelfand, and Kolmogorov numbers of compact embeddings between weighted 2-microlocal Besov spaces, including the quasi-Banach case.
We consider the asymptotic behaviour of the approximation, Gelfand and Kolmogorov numbers of compact embeddings between 2-microlocal Besov spaces with weights defined in terms of the distance to a $d$-set $U\subset \mathbb{R}^n$. The sharp estimates are shown in most cases, where the quasi-Banach setting is included.