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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/2405.08412 |
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| _version_ | 1866913381811748864 |
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| author | Bényi, Árpád Li, Guopeng Oh, Tadahiro Torres, Rodolfo H. |
| author_facet | Bényi, Árpád Li, Guopeng Oh, Tadahiro Torres, Rodolfo H. |
| contents | We present a new proof of the compactness of bilinear paraproducts with CMO symbols. By drawing an analogy to compact linear operators, we first explore further properties of compact bilinear operators on Banach spaces and present examples. We then prove compactness of bilinear paraproducts with CMO symbols by combining one of the properties of compact bilinear operators thus obtained with vanishing Carleson measure estimates and interpolation of bilinear compactness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08412 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Compact bilinear operators and paraproducts revisited Bényi, Árpád Li, Guopeng Oh, Tadahiro Torres, Rodolfo H. Functional Analysis Classical Analysis and ODEs 42B20, 47B07, 42B25 We present a new proof of the compactness of bilinear paraproducts with CMO symbols. By drawing an analogy to compact linear operators, we first explore further properties of compact bilinear operators on Banach spaces and present examples. We then prove compactness of bilinear paraproducts with CMO symbols by combining one of the properties of compact bilinear operators thus obtained with vanishing Carleson measure estimates and interpolation of bilinear compactness. |
| title | Compact bilinear operators and paraproducts revisited |
| topic | Functional Analysis Classical Analysis and ODEs 42B20, 47B07, 42B25 |
| url | https://arxiv.org/abs/2405.08412 |