| 奇异积分算子q-变差的定量最优加权估计 |
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| 引用本文： | 程旺,马涛. 奇异积分算子q-变差的定量最优加权估计[J]. 数学学报, 2019, 62(2): 279-286 |
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| 作者姓名： | 程旺 马涛 |
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| 作者单位： | 武汉大学数学与统计学院 武汉 430070 |
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| 基金项目： | 国家自然科学基金资助项目（11671308，11431011） |
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| 摘 要： | 本文将定量最优A_p权理论推广到联系于ω-Calderón-Zygmund算子的q-变差情形.这些结果利用了Lerner最新给出的稀疏控制方法来控制q-变差,和Hyt?nen等关于q-变差的最优加权成果相比,本文涉及的ω仅需满足Dini条件,并且其截断是非光滑的.
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| 关 键 词： | 最优加权估计 定量估计 q-变差 CALDERON-ZYGMUND算子 稀疏算子 |
Quantitative and Sharp Weighted Estimates for q-Variations of Singular Operators |
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| Wang CHENG,Tao MA. Quantitative and Sharp Weighted Estimates for q-Variations of Singular Operators[J]. Acta Mathematica Sinica, 2019, 62(2): 279-286 |
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| Authors: | Wang CHENG Tao MA |
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| Affiliation: | School of Mathematics and Statistics, Wuhan 430070, P. R. China |
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| Abstract: | In this work we extend the quantitative and sharp weighted bounds for the Ap theorem to the q-variation of ω-Calderón–Zygmund operators. These results make use of the new sparse dominating techniques given recently by Lerner to control the q-variation. Compared with the work of Hytönen etc., which also involved the sharp weighted estimates of q-variations,ω in our case only satisfies the Dini condition, and related cut-off is sharp. |
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| Keywords: | sharp weighted estimates quantitative estimates q-variation Calderón–Zygmund operators sparse operators |
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