Atomic decomposition of Bergman-Orlicz space on the upper complex half-plane
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_ | 1866910899192725504 |
|---|---|
| author | Dje, J. M. Tanoh Sehba, Benoît. F. |
| author_facet | Dje, J. M. Tanoh Sehba, Benoît. F. |
| contents | In this work, we propose an atomic decomposition of the Bergman-Orlicz spaces on the complex upper half-plane. Using this result, we characterize Carleson embeddings with loss between Bergman-Orlicz spaces and certain Orlicz spaces. We also leverage this last result to control the composition operator between two Bergman-Orlicz spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23570 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Atomic decomposition of Bergman-Orlicz space on the upper complex half-plane Dje, J. M. Tanoh Sehba, Benoît. F. Complex Variables Classical Analysis and ODEs In this work, we propose an atomic decomposition of the Bergman-Orlicz spaces on the complex upper half-plane. Using this result, we characterize Carleson embeddings with loss between Bergman-Orlicz spaces and certain Orlicz spaces. We also leverage this last result to control the composition operator between two Bergman-Orlicz spaces. |
| title | Atomic decomposition of Bergman-Orlicz space on the upper complex half-plane |
| topic | Complex Variables Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2503.23570 |