| 单位圆盘D上的非负测度μ的一种刻画 |
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| 引用本文： | 翟帆,雷玉琼.单位圆盘D上的非负测度μ的一种刻画[J].河南机电高等专科学校学报,2011,19(1):27-29. |
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| 作者姓名： | 翟帆 雷玉琼 |
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| 作者单位： | 郑州布瑞达理工职业学院,河南,郑州,452370 |
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| 摘 要： | 给出了单位圆盘D上的非负测度μ的一种刻画:若A为单位圆盘D上的非负测度,则μ在单位圆盘上的调和收缩μ(ζ) =(2π/1)τD 1-∣z∣2/1ζ-z∣2dμ(z),属于L∞的充要条件是对任意的hэL1,存在常数C>0,使得τD∣P(h)(z)∣dμ(z)≤C‖h‖L1;μ为D上的非负测度,若函数μ1(ζ)＝τ(ζ)1...
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| 关 键 词： | Carleson测度 调和收缩 面积算子 |
The Characterization of the Positive Measures on the Unit Disk |
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| ZHAI Fan,LEI Yu-qiong.The Characterization of the Positive Measures on the Unit Disk[J].Journal of Henan Mechanical and Electrical Engineering College,2011,19(1):27-29. |
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| Authors: | ZHAI Fan LEI Yu-qiong |
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| Affiliation: | ZHAI fan,et al(Brenda institute of technology,Zhengzhou 452370,China) |
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| Abstract: | The paper mainly basises some existing conclusion,gives the characterization of the positive measures on the unit disk If is the positive measure on the unit disk,then The harmonic contraction μ（ζ）=1/2π∫D1（│-│z│2）/（│ζ-z│2）dμ（z）, if and only if existing the constant C0,such that ∫D│P（h）（z）│dμ（z）≤C‖h‖L1;for any;If is the positive measures on the unit disk and the function μ1（ζ）=∫Γ（ζ）（dμ（z））/（1-│z│）∈L∞,then is Carleson measure;If 1p∞,1p＋1q and is the Carleson measure,then and μ（ζ）Lq. |
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| Keywords: | Carleson measure harmonic contraction generalized area operators |
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