Sharp maximal function estimates and $H^{p}$ continuities of pseudo-differential operators
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910853887950848 |
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| author | Wang, Guangqing |
| author_facet | Wang, Guangqing |
| contents | It is studied that pointwise estimates and continuities on Hardy spaces of pseudo-differential operators (PDOs for short) with the symbol in general Hörmander's classes. We get weighted weak-type $(1,1)$ estimate, weighted normal inequalities, $(H^{p},H^{p})$ continuities and $(H^{p},L^{p})$ continuities for PDOs, where $0<p\leq1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_00800 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sharp maximal function estimates and $H^{p}$ continuities of pseudo-differential operators Wang, Guangqing Analysis of PDEs It is studied that pointwise estimates and continuities on Hardy spaces of pseudo-differential operators (PDOs for short) with the symbol in general Hörmander's classes. We get weighted weak-type $(1,1)$ estimate, weighted normal inequalities, $(H^{p},H^{p})$ continuities and $(H^{p},L^{p})$ continuities for PDOs, where $0<p\leq1$. |
| title | Sharp maximal function estimates and $H^{p}$ continuities of pseudo-differential operators |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2503.00800 |