Besov-Lipschitz norm and $p$-energy measure on scale-irregular Vicsek sets
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916846848966656 |
|---|---|
| author | Chen, Aobo Gao, Jin Yu, Zhenyu Zhang, Junda |
| author_facet | Chen, Aobo Gao, Jin Yu, Zhenyu Zhang, Junda |
| contents | In this paper, we establish the existence of $p$-energy norms and the corresponding $p$-energy measures for scale-irregular Vicsek sets, which may lack self-similarity. We also investigate the characterizations of $p$-energy norms in terms of Besov-Lipschitz norms, with their weak monotonicity and the corresponding Bourgain-Brezis-Mironescu convergence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_00782 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Besov-Lipschitz norm and $p$-energy measure on scale-irregular Vicsek sets Chen, Aobo Gao, Jin Yu, Zhenyu Zhang, Junda Functional Analysis 28A80, 46E30, 46E35 In this paper, we establish the existence of $p$-energy norms and the corresponding $p$-energy measures for scale-irregular Vicsek sets, which may lack self-similarity. We also investigate the characterizations of $p$-energy norms in terms of Besov-Lipschitz norms, with their weak monotonicity and the corresponding Bourgain-Brezis-Mironescu convergence. |
| title | Besov-Lipschitz norm and $p$-energy measure on scale-irregular Vicsek sets |
| topic | Functional Analysis 28A80, 46E30, 46E35 |
| url | https://arxiv.org/abs/2406.00782 |