The Hölder regularity of harmonic function on bounded and unbounded p.c.f self-similar sets
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866911485734682624 |
|---|---|
| author | Gao, Jin Song, Yijun |
| author_facet | Gao, Jin Song, Yijun |
| contents | In this paper, we prove a generalized reverse Hölder inequality of harmonic functions on cable systems induced by post-critically finite (p.c.f.) self-similar sets. Furthermore, we also establish the Hölder regularity of harmonic functions on both bounded and unbounded p.c.f. self-similar sets, which does not involve heat kernel estimates and resistance estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_00659 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Hölder regularity of harmonic function on bounded and unbounded p.c.f self-similar sets Gao, Jin Song, Yijun Functional Analysis 28A80, 35K08 In this paper, we prove a generalized reverse Hölder inequality of harmonic functions on cable systems induced by post-critically finite (p.c.f.) self-similar sets. Furthermore, we also establish the Hölder regularity of harmonic functions on both bounded and unbounded p.c.f. self-similar sets, which does not involve heat kernel estimates and resistance estimates. |
| title | The Hölder regularity of harmonic function on bounded and unbounded p.c.f self-similar sets |
| topic | Functional Analysis 28A80, 35K08 |
| url | https://arxiv.org/abs/2603.00659 |