Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2205.07599 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916398021738496 |
|---|---|
| author | Jin, Jianjun |
| author_facet | Jin, Jianjun |
| contents | In this paper we introduce and study several new Hardy-Littlewood-Pólya-type operators. In particular, we study a Hardy-Littlewood-Pólya-type operator induced by a positive Borel measure on $[0,1)$. We establish some sufficient and necessary conditions for the boundedness (compactness) of these operators. We also determine the exact values of the norms of the Hardy-Littlewood-Pólya-type operators for certain special cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_07599 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the operators of Hardy-Littlewood-Pólya type Jin, Jianjun Functional Analysis 47B37, 47A30, 26D15 In this paper we introduce and study several new Hardy-Littlewood-Pólya-type operators. In particular, we study a Hardy-Littlewood-Pólya-type operator induced by a positive Borel measure on $[0,1)$. We establish some sufficient and necessary conditions for the boundedness (compactness) of these operators. We also determine the exact values of the norms of the Hardy-Littlewood-Pólya-type operators for certain special cases. |
| title | On the operators of Hardy-Littlewood-Pólya type |
| topic | Functional Analysis 47B37, 47A30, 26D15 |
| url | https://arxiv.org/abs/2205.07599 |