Nonhomogeneous div-curl type estimates for system of complex vector fields on local Hardy spaces
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908343770021888 |
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| author | Machado, Catarina Picon, Tiago |
| author_facet | Machado, Catarina Picon, Tiago |
| contents | In this work, we present a nonhomogeneous version of the classical div-curl type estimates in the setup of elliptic system of complex vector fields with constant coefficients on local Hardy space $h^1$. As an application, we obtain a decomposition of the local $bmo$ space via a family of vector fields depending on div-curl terms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_21249 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonhomogeneous div-curl type estimates for system of complex vector fields on local Hardy spaces Machado, Catarina Picon, Tiago Analysis of PDEs Primary 35J46 35B45 42B30, Secondary 30H10 35A23 46F10 In this work, we present a nonhomogeneous version of the classical div-curl type estimates in the setup of elliptic system of complex vector fields with constant coefficients on local Hardy space $h^1$. As an application, we obtain a decomposition of the local $bmo$ space via a family of vector fields depending on div-curl terms. |
| title | Nonhomogeneous div-curl type estimates for system of complex vector fields on local Hardy spaces |
| topic | Analysis of PDEs Primary 35J46 35B45 42B30, Secondary 30H10 35A23 46F10 |
| url | https://arxiv.org/abs/2504.21249 |