On $L^2$-boundedness of pseudo-multipliers associated to the Grushin operator
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866914680413356032 |
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| author | Bagchi, Sayan Garg, Rahul |
| author_facet | Bagchi, Sayan Garg, Rahul |
| contents | In this article we define analogues of pseudo-differential operators associated to the joint functional calculus of the Grushin operator using their spectral resolution, and study Calderón--Vaillancourt-type theorems for these operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_10098 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On $L^2$-boundedness of pseudo-multipliers associated to the Grushin operator Bagchi, Sayan Garg, Rahul Analysis of PDEs Classical Analysis and ODEs Functional Analysis 58J40, 43A85, 42B15 In this article we define analogues of pseudo-differential operators associated to the joint functional calculus of the Grushin operator using their spectral resolution, and study Calderón--Vaillancourt-type theorems for these operators. |
| title | On $L^2$-boundedness of pseudo-multipliers associated to the Grushin operator |
| topic | Analysis of PDEs Classical Analysis and ODEs Functional Analysis 58J40, 43A85, 42B15 |
| url | https://arxiv.org/abs/2111.10098 |