Pointwise lower bounds in growth spaces with little o conditions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866916816661512192 |
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| author | Cuckovic, Zeljko Taskinen, Jari |
| author_facet | Cuckovic, Zeljko Taskinen, Jari |
| contents | Pointwise lower bounds on the open unit disc $\bbD$ for the sum of the moduli of two analytic functions $f$ and $g$ (or their derivatives) are known in several cases, like $f,g$ belonging to the Bloch space $\cB$, $BMOA$ or the weighted Hardy space $H_ω^\infty$. We find complementary results of Ramey-Ullrich and Abakumov-Doubtsov for functions with little o conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_22381 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Pointwise lower bounds in growth spaces with little o conditions Cuckovic, Zeljko Taskinen, Jari Complex Variables Functional Analysis 30H10, 30H30 Pointwise lower bounds on the open unit disc $\bbD$ for the sum of the moduli of two analytic functions $f$ and $g$ (or their derivatives) are known in several cases, like $f,g$ belonging to the Bloch space $\cB$, $BMOA$ or the weighted Hardy space $H_ω^\infty$. We find complementary results of Ramey-Ullrich and Abakumov-Doubtsov for functions with little o conditions. |
| title | Pointwise lower bounds in growth spaces with little o conditions |
| topic | Complex Variables Functional Analysis 30H10, 30H30 |
| url | https://arxiv.org/abs/2503.22381 |