Trilinear Fourier multipliers on Hardy spaces
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866912124532424704 |
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| author | Lee, Jin Bong Park, Bae Jun |
| author_facet | Lee, Jin Bong Park, Bae Jun |
| contents | In this paper, we obtain the $H^{p_1}\times H^{p_2}\times H^{p_3}\to H^p$ boundedness for trilinear Fourier multiplier operators, which is a trilinear analogue of the multiplier theorem of Calderón and Torchinsky (Adv. Math. 24 : 101-171, 1977). Our result improves the trilinear estimate in the very recent work of the authors, Lee, Heo, Hong, Park, and Yang (Math. Ann., to appear ) by additionally assuming an appropriate vanishing moment condition, which is natural in the boundedness into the Hardy space $H^p$ for $0<p\le 1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_00225 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Trilinear Fourier multipliers on Hardy spaces Lee, Jin Bong Park, Bae Jun Classical Analysis and ODEs In this paper, we obtain the $H^{p_1}\times H^{p_2}\times H^{p_3}\to H^p$ boundedness for trilinear Fourier multiplier operators, which is a trilinear analogue of the multiplier theorem of Calderón and Torchinsky (Adv. Math. 24 : 101-171, 1977). Our result improves the trilinear estimate in the very recent work of the authors, Lee, Heo, Hong, Park, and Yang (Math. Ann., to appear ) by additionally assuming an appropriate vanishing moment condition, which is natural in the boundedness into the Hardy space $H^p$ for $0<p\le 1$. |
| title | Trilinear Fourier multipliers on Hardy spaces |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2107.00225 |