Weighted Boundedness of a Composition of Paraproducts
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915603961348096 |
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| author | Čolović, Ana |
| author_facet | Čolović, Ana |
| contents | In this paper we offer alternate upper bound for the operator $Π_b^*Π_d$ to the ones present in literature, thus extending the known upper bounds from the $L^2(\mathbb{R})$ setting to $L^p(w)$, for $1<p<\infty,$ and a Muckenhoupt weight $w$. In the $L^2(w)$ setting, we fully characterize the boundedness of the operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_04756 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weighted Boundedness of a Composition of Paraproducts Čolović, Ana Functional Analysis In this paper we offer alternate upper bound for the operator $Π_b^*Π_d$ to the ones present in literature, thus extending the known upper bounds from the $L^2(\mathbb{R})$ setting to $L^p(w)$, for $1<p<\infty,$ and a Muckenhoupt weight $w$. In the $L^2(w)$ setting, we fully characterize the boundedness of the operator. |
| title | Weighted Boundedness of a Composition of Paraproducts |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2511.04756 |