On multidimensional Bohr radius of finite dimensional Banach spaces
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_ | 1866916817000202240 |
|---|---|
| author | Allu, Vasudevarao Pal, Subhadip |
| author_facet | Allu, Vasudevarao Pal, Subhadip |
| contents | In this paper, we improve the lower estimate of multidimensional Bohr radius for unit ball of $\ell^n_q$-spaces ($1\leq q\leq \infty$) for bounded holomorphic functions with values in finite dimensional complex Banach spaces. The new estimate provides the improved lower bound for the Bohr radius which was previously given by Defant, Maestre, and Schwarting [Adv. Math. 231 (2012), 2837--2857]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_23540 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On multidimensional Bohr radius of finite dimensional Banach spaces Allu, Vasudevarao Pal, Subhadip Complex Variables Functional Analysis 32A05, 32A10, 46B07, 46G25 In this paper, we improve the lower estimate of multidimensional Bohr radius for unit ball of $\ell^n_q$-spaces ($1\leq q\leq \infty$) for bounded holomorphic functions with values in finite dimensional complex Banach spaces. The new estimate provides the improved lower bound for the Bohr radius which was previously given by Defant, Maestre, and Schwarting [Adv. Math. 231 (2012), 2837--2857]. |
| title | On multidimensional Bohr radius of finite dimensional Banach spaces |
| topic | Complex Variables Functional Analysis 32A05, 32A10, 46B07, 46G25 |
| url | https://arxiv.org/abs/2506.23540 |