Weighted norm inequalities of various square functions and Volterra integral operators on the unit ball
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866929611186634752 |
|---|---|
| author | Pang, Changbao Wang, Maofa Xu, Bang Zhang, Hao |
| author_facet | Pang, Changbao Wang, Maofa Xu, Bang Zhang, Hao |
| contents | In this paper, we investigate various square functions on the complex unit ball. We prove the weighted inequalities of the Lusin area integral associated with Poisson integral in terms of $A_p$ weights for all $1<p<\infty$; this gives an affirmative answer to an open question raised by Segovia and Wheeden. In addition, we get an equivalent characterization of weighted Hardy spaces by means of the Lusin area integral in the context of holomorphic functions. We also obtain the weighted inequalities for Volterra integral operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13726 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weighted norm inequalities of various square functions and Volterra integral operators on the unit ball Pang, Changbao Wang, Maofa Xu, Bang Zhang, Hao Complex Variables In this paper, we investigate various square functions on the complex unit ball. We prove the weighted inequalities of the Lusin area integral associated with Poisson integral in terms of $A_p$ weights for all $1<p<\infty$; this gives an affirmative answer to an open question raised by Segovia and Wheeden. In addition, we get an equivalent characterization of weighted Hardy spaces by means of the Lusin area integral in the context of holomorphic functions. We also obtain the weighted inequalities for Volterra integral operators. |
| title | Weighted norm inequalities of various square functions and Volterra integral operators on the unit ball |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2408.13726 |