تقرير
Endpoint theory for the compactness of commutators
| العنوان: | Endpoint theory for the compactness of commutators |
|---|---|
| المؤلفون: | Wang, Dinghuai, Hu, Xi, Qi, Shuai |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis, Mathematics - Classical Analysis and ODEs, Primary 46B50, 46E30, Secondary 42B20 |
| الوصف: | In this paper, we establish a Minkowski-type inequality for weak Lebesgue space, which allows us to obtain a characterization of relative compactness in these spaces. Furthermore, we are the first to investigate the compactness results of commutators at the endpoint. The paper provides a comprehensive study of the compactness properties of commutators of Calder\'{o}n-Zygmund operators in Hardy and $L^{1}(\mathbb{R}^n)$ type spaces. Additionally, we provide factorization theorems for Hardy spaces in terms of singular integral operators in the $L^1(\mathbb{R}^n)$ space. Comment: 36 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2309.10343 |
| رقم الأكسشن: | edsarx.2309.10343 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |