A note on $L^p$-$L^q$ boundedness of Fourier multipliers on noncommutative spaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908476084584448 |
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| author | Ruzhansky, Michael Tulenov, Kanat |
| author_facet | Ruzhansky, Michael Tulenov, Kanat |
| contents | In this work, we study Fourier multipliers on noncommutative spaces. In particluar, we show a simple proof of $L^p$-$L^q$ estimate of Fourier multipliers on general noncommutative spaces associated with semi-finite von Neumann algebras. This includes the case of Fourier multipliers on general locally compact unimodular groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_08643 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on $L^p$-$L^q$ boundedness of Fourier multipliers on noncommutative spaces Ruzhansky, Michael Tulenov, Kanat Functional Analysis In this work, we study Fourier multipliers on noncommutative spaces. In particluar, we show a simple proof of $L^p$-$L^q$ estimate of Fourier multipliers on general noncommutative spaces associated with semi-finite von Neumann algebras. This includes the case of Fourier multipliers on general locally compact unimodular groups. |
| title | A note on $L^p$-$L^q$ boundedness of Fourier multipliers on noncommutative spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2408.08643 |