| 摘要: |
| 本文研究了极大Bochner-Riesz平均的有界性.利用极大Bochner-Riesz平均的点态估计及弱Musielak-Orlicz Hardy空间的原子分解，得到了极大Bochner-Riesz平均从弱Musielak-Orlicz Hardy空间到弱Musielak-Orlicz空间是有界的.即使对任意的（x，t）∈Rn×[0，∞），当Musielak-Orlicz函数ϕ（x，t）取为特殊的Orlicz函数Φ（t）时，上述结果也是新的.这个结果是王华加权空间上的结果（见文献[1]）在Musielak-Orlicz空间情形下的推广. |
| 关键词: Bochner-Riesz平均 Muckenhoupt权 Orlicz函数 Hardy空间 |
| DOI： |
| 分类号:O174.2 |
| 基金项目:Supported by National Natural Science Foundation of China (11461065; 11661075). |
|
| AN ESTIMATE FOR MAXIMAL BOCHNER-RIESZ MEANS ON MUSIELAK-ORLICZ HARDY SPACES |
|
WANG Wen-hua, QIU Xiao-li, WANG Ai-ting, LI Bao-de
|
|
College of Mathematics and System Science, Xinjiang University, Urumqi 830046, China
|
| Abstract: |
| In this paper, we study the boundedness of maximal Bochner-Riesz means. By using the pointwise of maximal Bochner-Riesz means and the atomic decomposition of weak Musielak-Orlicz Hardy space, we establish the boundedness of maximal Bochner-Riesz means from weak Musielak-Orlicz Hardy space to weak Musielak-Orlicz space. This result is new even when ϕ(x, t):=Φ(t) for all (x, t)∈Rn×[0, ∞), where Φ is an Orlicz function, and it is an extension to Musielak-Orlicz spaces from the setting of the weighted spaces of Wang[1]. |
| Key words: Bochner-Riesz means Muckenhoupt weight Orlicz function Hardy space |
