Vector-valued properties of the Weyl transform
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866909340360769536 |
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| author | Singhal, Ritika Kumar, N. Shravan |
| author_facet | Singhal, Ritika Kumar, N. Shravan |
| contents | In this paper, we introduce and study the Weyl transform of functions which are integrable with respect to a vector measure on a phase space associated to a locally compact abelian group. We also study the Weyl transform of vector measures. Later, we also introduce and study the convolution of functions from $L^p$-spaces associated to a vector measure. We also study the Weyl transform of vector-valued functions and prove a vector-valued analogue of the Hausdorff-Young inequality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_06027 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Vector-valued properties of the Weyl transform Singhal, Ritika Kumar, N. Shravan Functional Analysis 42A38, 43A15, 43A25, 46G10 In this paper, we introduce and study the Weyl transform of functions which are integrable with respect to a vector measure on a phase space associated to a locally compact abelian group. We also study the Weyl transform of vector measures. Later, we also introduce and study the convolution of functions from $L^p$-spaces associated to a vector measure. We also study the Weyl transform of vector-valued functions and prove a vector-valued analogue of the Hausdorff-Young inequality. |
| title | Vector-valued properties of the Weyl transform |
| topic | Functional Analysis 42A38, 43A15, 43A25, 46G10 |
| url | https://arxiv.org/abs/2107.06027 |