On the class of almost subadditive weight functions
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866913445588238336 |
|---|---|
| author | Schindl, Gerhard |
| author_facet | Schindl, Gerhard |
| contents | We answer a question from A. V. Abanin and P. T. Tien about so-called almost subadditive weight functions in the sense of Braun-Meise-Taylor. Using recent knowledge of a growth index for functions, crucially appearing in the ultraholomorphic setting, we are able to show the existence of weights such that there does not exist an equivalent almost subadditive function and hence almost subadditive weights are a proper subclass. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_10933 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the class of almost subadditive weight functions Schindl, Gerhard Complex Variables 26A12, 26A48 We answer a question from A. V. Abanin and P. T. Tien about so-called almost subadditive weight functions in the sense of Braun-Meise-Taylor. Using recent knowledge of a growth index for functions, crucially appearing in the ultraholomorphic setting, we are able to show the existence of weights such that there does not exist an equivalent almost subadditive function and hence almost subadditive weights are a proper subclass. |
| title | On the class of almost subadditive weight functions |
| topic | Complex Variables 26A12, 26A48 |
| url | https://arxiv.org/abs/2401.10933 |