A note for Carleson measure on bounded $\mathbb{C}$-convex domains
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918254012792832 |
|---|---|
| author | Li, Mingjin Long, Jianren Wang, Lang |
| author_facet | Li, Mingjin Long, Jianren Wang, Lang |
| contents | Let \(0<q<p<\infty\), \(Ω\) be a bounded \(\bbC\)-convex domains in \(\bbC^n\). We establish several equivalent characterizations for the boundedness of
Carleson embedding \(J_μ:A_α^p\hookrightarrow L^q(μ)\) on \(Ω\) with sharp \(\cB\) condition. Furthermore, we prove that the boundedness of \(J_μ\) is equivalent to its compactness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_15158 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note for Carleson measure on bounded $\mathbb{C}$-convex domains Li, Mingjin Long, Jianren Wang, Lang Complex Variables Primary 46E30, Secondary 32A25, 32A36 Let \(0<q<p<\infty\), \(Ω\) be a bounded \(\bbC\)-convex domains in \(\bbC^n\). We establish several equivalent characterizations for the boundedness of Carleson embedding \(J_μ:A_α^p\hookrightarrow L^q(μ)\) on \(Ω\) with sharp \(\cB\) condition. Furthermore, we prove that the boundedness of \(J_μ\) is equivalent to its compactness. |
| title | A note for Carleson measure on bounded $\mathbb{C}$-convex domains |
| topic | Complex Variables Primary 46E30, Secondary 32A25, 32A36 |
| url | https://arxiv.org/abs/2512.15158 |