[1]李西振,陈行堤,王洁.上半平面的带权Bergman投影与Bloch空间[J].华侨大学学报(自然科学版),2019,40(2):277-280.[doi:10.11830/ISSN.1000-5013.201808032]
 LI Xizhen,CHEN Xingdi,WANG Jie.Bloch Space and Norm of Bergman Projection on Upper Half Plane[J].Journal of Huaqiao University(Natural Science),2019,40(2):277-280.[doi:10.11830/ISSN.1000-5013.201808032]
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上半平面的带权Bergman投影与Bloch空间()
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《华侨大学学报(自然科学版)》[ISSN:1000-5013/CN:35-1079/N]

卷:
第40卷
期数:
2019年第2期
页码:
277-280
栏目:
出版日期:
2019-03-20

文章信息/Info

Title:
Bloch Space and Norm of Bergman Projection on Upper Half Plane
文章编号:
1000-5013(2019)02-0277-04
作者:
李西振 陈行堤 王洁
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
LI Xizhen CHEN Xingdi WANG Jie
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
带权Bergman投影 Bloch空间 范数估计 精确值
Keywords:
weighted Bergman projection Bloch space norm estimate sharp constant
分类号:
O174.55
DOI:
10.11830/ISSN.1000-5013.201808032
文献标志码:
A
摘要:
研究上半平面带权Bergman投影的范数估计.结果表明:带权Bergman投影算子Pα将L(Π)空间映射到上半平面Bloch空间,且满足不等式‖Pαf‖B(Π)≤C‖f‖L(Π),其中,C为常数,并给出C的精确值;构造一个新的上半平面Bergman投影,并给出它的一个范数估计.
Abstract:
We study the estimate of the norm of weighted Bergman projection on the upper half plane. The results show that the weighted Bergman projection Pα maps the space L(Π)into a Bloch space, satisfying that ‖Pαf‖B(Π)≤C‖f‖L(Π), where C is a sharp constant. Moreover, we construct one new Bergman projection operator, and we also obtain its norm estimate.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期: 2018-08-23
通信作者: 陈行堤(1976-),男,教授,博士,主要从事函数论的研究.E-mail:chxtt@hqu.edu.cn.
基金项目: 国家自然科学基金资助项目(11471128); 福建省高校创新团队发展计划(2018年度); 福建省泉州市高层人才团队项目(2017ZT012); 华侨大学研究生科研创新能力培育计划资助项目(17013070008)
更新日期/Last Update: 2019-03-20