| 一类粗糙核奇异积分算子的端点估计 |
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| 引用本文： | 黄强,王正. 一类粗糙核奇异积分算子的端点估计[J]. 数学学报, 2018, 61(2): 309-316 |
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| 作者姓名： | 黄强 王正 |
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| 作者单位： | 浙江师范大学数学系 金华 321004 |
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| 摘 要： | 设T_Ω是带粗糙核的Calderón-Zygmund奇异积分算子,I为任意真包含在单位圆周S~1上的闭圆弧.本文证明,若Ω支在I上并在I上单调,那么T_Ω是从Hardy空间H~1(R~2)到L~1(R~2)的有界算子当且仅当‖Ω‖_(LlogL(S~1))∞.
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| 关 键 词： | 端点估计 奇异积分算子 粗糙核 Hardy空间 |
Endpoint Estimates of a Class of Singular Integral Operators with Rough Kernels |
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| Qiang HUANG,Zheng WANG. Endpoint Estimates of a Class of Singular Integral Operators with Rough Kernels[J]. Acta Mathematica Sinica, 2018, 61(2): 309-316 |
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| Authors: | Qiang HUANG Zheng WANG |
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| Affiliation: | Department of Mathematics, Zhejiang Normal University, Jinhua 321004, P. R. China |
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| Abstract: | Assume TΩ is the Calderón-Zygmund singular integral operator with rough kernel and I is the closed arc of unit circle that I ? S1. In this paper, we prove that if Ω is supported in I and monotonous on I, then TΩ is bounded from Hardy space H1(R2) to L1(R2) if and only if||Ω||L log L < ∞. |
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| Keywords: | endpoint estimate singular integral operators rough kernel Hardy space |
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