论文标题

Quarkonial分析

Quarkonial analysis

论文作者

Triebel, Hans

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.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源