Variation and oscillation inequalities for commutators in two-weight setting (Q1998780)
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scientific article; zbMATH DE number 7318572
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Variation and oscillation inequalities for commutators in two-weight setting |
scientific article; zbMATH DE number 7318572 |
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Variation and oscillation inequalities for commutators in two-weight setting (English)
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8 March 2021
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In this manuscript, the authors introduce the two-weight estimates of variation and oscillation operators for commutators of singular integrals with weighted BMO functions. A new characterization of weighted BMO spaces via the boundedness of variation and oscillation operators for the iterated commutators of Calderón-Zygmund singular integrals in the two-weight setting is given. The results in this paper are rich, novelty, and the arguments are nontrivial. Moreover, the paper is written well.
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variation
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oscillation
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weighted BMO
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iterated commutators
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two-weight
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