Norm Estimation Of The Harmonic Bergman Projectionon Half-spaces

Hyungwoon Koo; Kyesook Nam; HeungSu Yi

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Norm Estimation Of The Harmonic Bergman Projectionon Half-spaces

机译：半空间上的调和Bergman投影的范数估计

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摘要

On the setting of the upper half-space H of the Euclidean n-spaces, we give a sharp norm estimate of the weighted harmonic Bergman projection on L_α~p for 1 < p < ∞. Also, we obtain the norm estimate of the projection depending on α > -1 when p is fixed.

机译：在欧几里得n空间的上半空间H的设置上，我们给出了1 <∞时L_α〜p上加权谐波Bergman投影的清晰范数估计。同样，当p固定时，我们根据α> -1获得投影的范数估计。

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来源
《Journal of the Mathematical Society of Japan》 |2009年第1期|225-235|共11页
作者
Hyungwoon Koo; Kyesook Nam; HeungSu Yi;
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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
weighted bergman kernel; harmonic bergman functions; bergman projection; upper half-space;

机译：加权伯格曼核;调和伯格曼函数;伯格曼投影;上半空间;

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专利

1. WEIGHTED HARMONIC L~1-BERGMAN FUNCTIONS AND ITS NORM EQUIVALENCE ON HALF-SPACES [J] . Heungsu Yi International journal of functional analysis, operator theory & applications . 2017,第1期

机译：半空间上的加权调和L〜1-BERGMAN函数及其标准等价
2. Harmonic Conjugates of Weighted Harmonic Bergman Functions on Half-Spaces [J] . Kyesook Nam, HeungSu Yi Communications of the Korean Mathematical Society . 2003,第3期

机译：半空间上加权调和Bergman函数的调和共轭
3. Norm Estimates for the Bergman and Cauchy-Szego Projections Over the Siegel Upper Half-Space [J] . Liu Congwen Constructive approximation: An international journal for approximations and expansions . 2018,第3期

机译：博格曼和Cauchy-Szego投影对Siegel上半空间的预测
4. WEIGHTED BERGMAN KERNELS AND VIRTUAL BERGMAN KERNELS [C] . GUY ROOS Beijing-International Conference on Several Complex Variables(SCV 2004, Beijing); 20041022-27; Beijing(CN) . 2004

机译：加权的BERGMAN内核和虚拟BERGMAN内核
5. A Theoretical Analysis of Outgoing Isotropic Time-harmonic Linear Elasticity in a Half-space with Traction-free Boundary [D] . Holmes, Jonathan. 2018

机译：牵引边界的半空间中传出各向同性时间谐波线性弹性的理论分析
6. Two-stage sampling in the estimation of growth parameters and percentile norms: sample weights versus auxiliary variable estimation [O] . George Vamvakas, Courtenay Norbury, Andrew Pickles 2021

机译：在增长参数估计和百分子规范中的两级抽样：样本权重与辅助变量估计
7. Norm estimation of the harmonic Bergman projection on half-spaces [O] . Hyungwoon KOO, Kyesook NAM, HeungSu YI 2009

机译：半空间谐波Bergman投影的标准估计

Norm Estimation Of The Harmonic Bergman Projectionon Half-spaces

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