Multilinear operators on Hardy spaces associated with ball quasi-Banach function spaces
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910899204259840 |
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| author | Tan, Jian |
| author_facet | Tan, Jian |
| contents | This paper establishes that multilinear Calderón--Zygmund operators and their maximal operators are bounded on Hardy spaces associated with ball quasi-Banach function spaces. Moreover, we also obtain the boundedness of multilinear pseudo-differential operators on local Hardy spaces associated with ball quasi-Banach function spaces. Since these (local) Hardy type spaces encompass a wide range of classical (local) Hardy-type spaces including weighted (local) Hardy spaces, variable (local) Hardy space, (local) Hardy--Morrey space, mixed-norm (local) Hardy space, (local) Hardy--Lorentz space and (local) Hardy--Orlicz spaces, the results presented in this paper are highly general and essentially improve the existing results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23592 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multilinear operators on Hardy spaces associated with ball quasi-Banach function spaces Tan, Jian Functional Analysis Classical Analysis and ODEs 42B30, 42B20, 42B25 This paper establishes that multilinear Calderón--Zygmund operators and their maximal operators are bounded on Hardy spaces associated with ball quasi-Banach function spaces. Moreover, we also obtain the boundedness of multilinear pseudo-differential operators on local Hardy spaces associated with ball quasi-Banach function spaces. Since these (local) Hardy type spaces encompass a wide range of classical (local) Hardy-type spaces including weighted (local) Hardy spaces, variable (local) Hardy space, (local) Hardy--Morrey space, mixed-norm (local) Hardy space, (local) Hardy--Lorentz space and (local) Hardy--Orlicz spaces, the results presented in this paper are highly general and essentially improve the existing results. |
| title | Multilinear operators on Hardy spaces associated with ball quasi-Banach function spaces |
| topic | Functional Analysis Classical Analysis and ODEs 42B30, 42B20, 42B25 |
| url | https://arxiv.org/abs/2503.23592 |