Hardy decomposition of higher order Lipschitz classes by polymonogenic functions
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910423009198080 |
|---|---|
| author | Toranzo, Lianet De la Cruz Blaya, Ricardo Abreu Bernstein, Swanhild |
| author_facet | Toranzo, Lianet De la Cruz Blaya, Ricardo Abreu Bernstein, Swanhild |
| contents | In this paper we find a decomposition of higher order Lipschitz functions into the traces of a polymonogenic function and solve a related Riemann-Hilbert problem. Our approach lies in using a cliffordian Cauchy-type operator, which behaves as an involution operator on higher order Lipschitz spaces. The result obtained is a multidimensional sharpened version of the Hardy decomposition of Hölder continuous functions on a simple closed curve in the complex plane. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16447 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hardy decomposition of higher order Lipschitz classes by polymonogenic functions Toranzo, Lianet De la Cruz Blaya, Ricardo Abreu Bernstein, Swanhild Complex Variables 30G35, 31B10, 47B38, 47A05 In this paper we find a decomposition of higher order Lipschitz functions into the traces of a polymonogenic function and solve a related Riemann-Hilbert problem. Our approach lies in using a cliffordian Cauchy-type operator, which behaves as an involution operator on higher order Lipschitz spaces. The result obtained is a multidimensional sharpened version of the Hardy decomposition of Hölder continuous functions on a simple closed curve in the complex plane. |
| title | Hardy decomposition of higher order Lipschitz classes by polymonogenic functions |
| topic | Complex Variables 30G35, 31B10, 47B38, 47A05 |
| url | https://arxiv.org/abs/2404.16447 |