Boundedness of Harmonic Conjugation on Weighted Bergman Spaces
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917882479247360 |
|---|---|
| author | Ferguson, Timothy |
| author_facet | Ferguson, Timothy |
| contents | We prove that if a weight is a Bekollé-Bonami weight for some $q$ and it satisfies another simple condition that depends on $0 < p < \infty$, then the operator taking a function to its harmonic conjugate is bounded on the harmonic Bergman space $a^p$. One part of our results uses a certain special type of good lambda inequality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00631 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Boundedness of Harmonic Conjugation on Weighted Bergman Spaces Ferguson, Timothy Complex Variables 30H20 We prove that if a weight is a Bekollé-Bonami weight for some $q$ and it satisfies another simple condition that depends on $0 < p < \infty$, then the operator taking a function to its harmonic conjugate is bounded on the harmonic Bergman space $a^p$. One part of our results uses a certain special type of good lambda inequality. |
| title | Boundedness of Harmonic Conjugation on Weighted Bergman Spaces |
| topic | Complex Variables 30H20 |
| url | https://arxiv.org/abs/2501.00631 |