Variational inequalities for generalized spherical means
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914752872054784 |
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| author | Li, Wenjuan Yang, Dongyong Zhang, Feng |
| author_facet | Li, Wenjuan Yang, Dongyong Zhang, Feng |
| contents | In this paper, we establish the $L^{p}(\mathbb{R}^{d})$-boundedness of the variation operator and the $δ$-jump operator for generalized spherical means, and we also show the necessary conditions for the $L^{p}(\mathbb{R}^{d})$-boundedness of these operators. These results are almost optimal when $d=2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_00430 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Variational inequalities for generalized spherical means Li, Wenjuan Yang, Dongyong Zhang, Feng Classical Analysis and ODEs In this paper, we establish the $L^{p}(\mathbb{R}^{d})$-boundedness of the variation operator and the $δ$-jump operator for generalized spherical means, and we also show the necessary conditions for the $L^{p}(\mathbb{R}^{d})$-boundedness of these operators. These results are almost optimal when $d=2$. |
| title | Variational inequalities for generalized spherical means |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2404.00430 |