Characterization of vector-valued $L^1$-$L^p$ multipliers for Weyl transform
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929538669215744 |
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| author | Singhal, Ritika Kumar, N. Shravan |
| author_facet | Singhal, Ritika Kumar, N. Shravan |
| contents | In this article, we will characterize Weyl multipliers for the pair $(L^1(G \times \widehat{G}; A), L^p(G \times \widehat{G};A))$, for $1 \leq p< \infty$, under the assumption that $A$ is a complex Banach algebra with a bounded approximate identity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09462 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Characterization of vector-valued $L^1$-$L^p$ multipliers for Weyl transform Singhal, Ritika Kumar, N. Shravan Functional Analysis 42B15, 46G10 In this article, we will characterize Weyl multipliers for the pair $(L^1(G \times \widehat{G}; A), L^p(G \times \widehat{G};A))$, for $1 \leq p< \infty$, under the assumption that $A$ is a complex Banach algebra with a bounded approximate identity. |
| title | Characterization of vector-valued $L^1$-$L^p$ multipliers for Weyl transform |
| topic | Functional Analysis 42B15, 46G10 |
| url | https://arxiv.org/abs/2410.09462 |