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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.14994 |
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| _version_ | 1866917094471237632 |
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| author | Coacalle, Joel Picon, Tiago Vasconcelos, Claudio |
| author_facet | Coacalle, Joel Picon, Tiago Vasconcelos, Claudio |
| contents | In this work, we present sufficient cancellation conditions for the boundedness of inhomogeneous Calderón-Zygmund type operators on local Hardy spaces defined over spaces of homogeneous type in the sense of Coifman & Weiss for $ 0<p\leq 1 $. A new approach to atoms and molecules for local Hardy spaces in this setting are introduced with special moment conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_14994 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cancellation conditions and boundedness of Inhomogeneous Calderón-Zygmund operators on local Hardy spaces associate with spaces of homogeneous type Coacalle, Joel Picon, Tiago Vasconcelos, Claudio Analysis of PDEs 42B30, 42B35, 42B20, 43A85 In this work, we present sufficient cancellation conditions for the boundedness of inhomogeneous Calderón-Zygmund type operators on local Hardy spaces defined over spaces of homogeneous type in the sense of Coifman & Weiss for $ 0<p\leq 1 $. A new approach to atoms and molecules for local Hardy spaces in this setting are introduced with special moment conditions. |
| title | Cancellation conditions and boundedness of Inhomogeneous Calderón-Zygmund operators on local Hardy spaces associate with spaces of homogeneous type |
| topic | Analysis of PDEs 42B30, 42B35, 42B20, 43A85 |
| url | https://arxiv.org/abs/2412.14994 |