On the sharpness of some quantitative Muckenhoupt-Wheeden inequalities (Q6633614)
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scientific article; zbMATH DE number 7939456
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the sharpness of some quantitative Muckenhoupt-Wheeden inequalities |
scientific article; zbMATH DE number 7939456 |
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On the sharpness of some quantitative Muckenhoupt-Wheeden inequalities (English)
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6 November 2024
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In this note, the authors show that the quadratic dependence on \([w]_{A1}\) is sharp. This is done by constructing a sequence of scalar-valued weights with blowing-up characteristics so that the corresponding bounds for the Hilbert transform and the maximal function are exactly quadratic. This paper is well written with clear explanations and correct proofs. The results are new and interesting.
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matrix weights
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quantitative bounds
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endpoint estimates
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