Variational inequalities for the commutators of rough operators with BMO functions
| Autor: | Guixiang Hong, Yanping Chen, Honghai Liu, Yong Ding |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
42B20
42B25 Mathematics::Functional Analysis Pure mathematics Mathematics - Classical Analysis and ODEs Simple (abstract algebra) General Mathematics Variational inequality Classical Analysis and ODEs (math.CA) FOS: Mathematics Mathematics::Classical Analysis and ODEs Singular integral Bounded mean oscillation Mathematics |
| Zdroj: | Science China Mathematics. 64:2437-2460 |
| ISSN: | 1869-1862 1674-7283 |
| DOI: | 10.1007/s11425-019-1713-x |
| Popis: | In this paper, starting with a relatively simple observation that the variational estimates of the commutators of the standard Calder\'on-Zygmund operators with the BMO functions can be deduced from the weighted variational estimates of the standard Calder\'on-Zygmund operators themselves, we establish similar variational estimates for the commutators of the BMO functions with rough singular integrals which do not admit any weighted variational estimates. The proof involves many Littlewood-Paley type inequalities with commutators as well as Bony decomposition and related para-product estimates. Comment: 27 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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