Iterated commutators under a joint condition on the tuple of multiplying functions
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arXiv
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| Format: | Preprint |
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2019
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| _version_ | 1866918232358649856 |
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| author | Hytönen, Tuomas Li, Kangwei Oikari, Tuomas |
| author_facet | Hytönen, Tuomas Li, Kangwei Oikari, Tuomas |
| contents | We present a pair of joint conditions on the two functions $b_1,b_2$ strictly weaker than $b_1,b_2\in \operatorname{BMO}$ that almost characterize the $L^2$ boundedness of the iterated commutator $[b_2,[b_1,T]]$ of these functions and a Calderón-Zygmund operator $T.$ Namely, we sandwich this boundedness between two bisublinear mean oscillation conditions of which one is a slightly bumped up version of the other. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1910_00364 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Iterated commutators under a joint condition on the tuple of multiplying functions Hytönen, Tuomas Li, Kangwei Oikari, Tuomas Classical Analysis and ODEs 42B20 We present a pair of joint conditions on the two functions $b_1,b_2$ strictly weaker than $b_1,b_2\in \operatorname{BMO}$ that almost characterize the $L^2$ boundedness of the iterated commutator $[b_2,[b_1,T]]$ of these functions and a Calderón-Zygmund operator $T.$ Namely, we sandwich this boundedness between two bisublinear mean oscillation conditions of which one is a slightly bumped up version of the other. |
| title | Iterated commutators under a joint condition on the tuple of multiplying functions |
| topic | Classical Analysis and ODEs 42B20 |
| url | https://arxiv.org/abs/1910.00364 |