Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.05670 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914671220490240 |
|---|---|
| author | Gryc, William Lanzani, Loredana Xiong, Jue Zhang, Yuan |
| author_facet | Gryc, William Lanzani, Loredana Xiong, Jue Zhang, Yuan |
| contents | We give new characterizations of the optimal data space for the $L^p(bD,σ)$-Neumann boundary value problem for the $\bar{\partial}$ operator associated to a bounded, Lipschitz domain $D\subset\mathbb{C}$. We show that the solution space is embedded (as a Banach space) in the Dirichlet space and that for $p=2$, the solution space is a reproducing kernel Hilbert space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_05670 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New Properties of Holomorphic Sobolev-Hardy Spaces Gryc, William Lanzani, Loredana Xiong, Jue Zhang, Yuan Complex Variables 30H10, 30E20, 30E25, 31A25 We give new characterizations of the optimal data space for the $L^p(bD,σ)$-Neumann boundary value problem for the $\bar{\partial}$ operator associated to a bounded, Lipschitz domain $D\subset\mathbb{C}$. We show that the solution space is embedded (as a Banach space) in the Dirichlet space and that for $p=2$, the solution space is a reproducing kernel Hilbert space. |
| title | New Properties of Holomorphic Sobolev-Hardy Spaces |
| topic | Complex Variables 30H10, 30E20, 30E25, 31A25 |
| url | https://arxiv.org/abs/2402.05670 |