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| 摘要: |
| 本文研究了弱Orlicz空间上的两参数B值强鞅，重点研究了两参数B值强鞅空间 $w\widetilde{H}_{\Phi}^{\sigma}$ 的强原子分解定理,利用原子分解定理，给出了次线性算子 $\|Tf\|_{wL_\Phi}\leq C\|f\|_{w\widetilde {H}_{\Phi}^{\sigma}}$有界性的充分条件，上述结果推广了弱$L_p$鞅空间的结论. |
| 关键词: 原子分解 弱Orlicz空间 强鞅 两参数B值鞅 |
| DOI： |
| 分类号:O177 |
| 基金项目:Supported by National Natural Science Foundation of China (11871195). |
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| STRONG ATOMIC DECOMPOSITIONS OF TWO-PARAMETER B-VALUED WEAK ORLICZ STRONG MARTINGALE SPACES |
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ZHANG Chuan-zhou,JIAO Fan,LI Tian-tian
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| Abstract: |
| In this paper, we study the two-parameter B-valued strong martingale on weak Orlicz space, with emphasis on the strong atomic decomposition theorem of two-parameter B-valued strong martingale space $w\widetilde{H}_{\Phi}^{\sigma}$, by using atomic decomposition theorem, the sufficient conditions for boundedness of sublinear operator $\|Tf\|_{wL_\Phi}\leq C\|f\|_{w\widetilde {H}_{\Phi}^{\sigma}}$ is given. The results as above generalize the conclusion of weak $L_p$ martingale space. |
| Key words: atomic decompositions weak Orlicz spaces strong martingale two-parameter B-valued martingale |
