论文标题
Quarkonial分析
Quarkonial analysis
论文作者
论文摘要
The spaces $A^s_{p,q}({\mathbb R}^n)$ with $A \in \{B,F \}$, $s\in {\mathbb R}$ and $0<p,q \le \infty$ are usually introduced in terms of Fourier--analytical decompositions.如今,基于原子和小波的相关特征以最终的方式已知。夸克将原子原子化为建设性的构建块。 It is the main aim of these notes to raise quarkonial decompositions to the same level as related representations of the spaces $A^s_{p,q}({\mathbb R}^n)$ in terms of atoms or wavelets.某些应用程序将补充这一点。此外,我们还处理域中的夸克及其与所谓的精制本地化空间的关系。
The spaces $A^s_{p,q}({\mathbb R}^n)$ with $A \in \{B,F \}$, $s\in {\mathbb R}$ and $0<p,q \le \infty$ are usually introduced in terms of Fourier--analytical decompositions. Related characterizations based on atoms and wavelets are known nowadays in a rather final way. Quarks atomize the atoms into constructive building blocks. It is the main aim of these notes to raise quarkonial decompositions to the same level as related representations of the spaces $A^s_{p,q}({\mathbb R}^n)$ in terms of atoms or wavelets. This will be complemented by some applications. In addition we deal also with quarks in domains and their relations to so--called refined localization spaces.