Estimates for the wave equation on $β$-dimensional spaces of measures
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917146465927168 |
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| author | Basak, Riju Spector, Daniel |
| author_facet | Basak, Riju Spector, Daniel |
| contents | In this paper, we establish Miyachi-Peral-type fixed-time estimates for wave multipliers acting on $β$-dimension stable spaces of measures. Our estimates give a refinement of known estimates for the Hardy space. From these bounds, we deduce corresponding estimates for the wave equation with measure data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_12618 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Estimates for the wave equation on $β$-dimensional spaces of measures Basak, Riju Spector, Daniel Analysis of PDEs Functional Analysis In this paper, we establish Miyachi-Peral-type fixed-time estimates for wave multipliers acting on $β$-dimension stable spaces of measures. Our estimates give a refinement of known estimates for the Hardy space. From these bounds, we deduce corresponding estimates for the wave equation with measure data. |
| title | Estimates for the wave equation on $β$-dimensional spaces of measures |
| topic | Analysis of PDEs Functional Analysis |
| url | https://arxiv.org/abs/2512.12618 |