| 一类奇异积分算子在加权空间的界的估计 |
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| 引用本文： | 高文华.一类奇异积分算子在加权空间的界的估计[J].数学学报,2021(2):343-352. |
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| 作者姓名： | 高文华 |
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| 作者单位： | 北京师范大学珠海分校应用数学学院 |
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| 基金项目： | 国家自然科学基金(11871108,11971295);北京师范大学珠海分校教师科研能力促进计划项目。 |
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| 摘 要： | 设T是由Grubb和Moore引入的一类奇异积分算子,它的核满足一种新型利普希茨正则性.T*是由T确定的极大奇异积分算子.本文通过建立与T和T*相关的grand极大算子的弱型端点估计,得到了算子T和T*在加权空间的由Ap权常数表示的界的估计和弱型端点估计.
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| 关 键 词： | 奇异积分算子 grand极大算子 端点估计 加权界 |
Quantitative Weighted Bounds for a Class of Singular Integral Operators |
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| Wen Hua GAO.Quantitative Weighted Bounds for a Class of Singular Integral Operators[J].Acta Mathematica Sinica,2021(2):343-352. |
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| Authors: | Wen Hua GAO |
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| Institution: | (School of Applied Mathernatics,Beijing Norrnal University(Zhuhai),Zhuhai 519087,P.R.Chima) |
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| Abstract: | Let T be the singular integral operator whose kernel satisfies a variant of Lipschitz regularity introduced by Grubb and Moore,and T*be the associated maximal singular integral operator.In this paper,by establishing the weak type endpoint estimates for the grand maximal operators corresponding to T and T*,the author establishes some quantitative weighted bounds and weighted weak type endpoint bounds in terms of the Apconstants for the operators T and T*. |
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| Keywords: | singular integral operator grand maximal operator endpoint estimates weighted bound |
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