Multilinear estimates for maximal rough singular integrals
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910878399463424 |
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| author | Park, Bae Jun |
| author_facet | Park, Bae Jun |
| contents | In this work, we establish $L^{p_1}\times \cdots\times L^{p_m}\to L^p$ bounds for maximal multi-(sub)linear singular integrals associated with homogeneous kernels $\frac{Ω(\vec{\boldsymbol{y}}')}{|\vec{\boldsymbol{y}}|^{mn}}$
where $Ω$ is an $L^q$ function on the unit sphere $\mathbb{S}^{mn-1}$ with vanishing moment condition and $q>1$.
As an application, we obtain almost everywhere convergence results for the associated doubly truncated multilinear singular integrals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_00357 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multilinear estimates for maximal rough singular integrals Park, Bae Jun Classical Analysis and ODEs 42B20, 42B25, 47H60 In this work, we establish $L^{p_1}\times \cdots\times L^{p_m}\to L^p$ bounds for maximal multi-(sub)linear singular integrals associated with homogeneous kernels $\frac{Ω(\vec{\boldsymbol{y}}')}{|\vec{\boldsymbol{y}}|^{mn}}$ where $Ω$ is an $L^q$ function on the unit sphere $\mathbb{S}^{mn-1}$ with vanishing moment condition and $q>1$. As an application, we obtain almost everywhere convergence results for the associated doubly truncated multilinear singular integrals. |
| title | Multilinear estimates for maximal rough singular integrals |
| topic | Classical Analysis and ODEs 42B20, 42B25, 47H60 |
| url | https://arxiv.org/abs/2409.00357 |