| 变指数拟鞅Hardy空间 |
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| 引用本文： | 夏绮,张传洲.变指数拟鞅Hardy空间[J].数学进展,2021(2):277-289. |
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| 作者姓名： | 夏绮 张传洲 |
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| 作者单位： | 武汉科技大学理学院 |
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| 基金项目： | Supported by NSFC (No.11871195)。 |
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| 摘 要： | 本文研究了变指数拟鞅Hardy空间,给出了变指数拟鞅Hardy空间的原子分解并证明了p(·)-拟鞅原子上次线性算子的有界性,推广了变指数鞅Hardy空间中的已知结论.
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| 关 键 词： | 拟鞅 变指数 原子分解 次线性算子 |
The Quasi-martingale Hardy Spaces with Variable Exponents |
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| XIA Qi,ZHANG Chuanzhou.The Quasi-martingale Hardy Spaces with Variable Exponents[J].Advances in Mathematics,2021(2):277-289. |
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| Authors: | XIA Qi ZHANG Chuanzhou |
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| Institution: | (School of Science,Wuhan University of Science and Technology,Wuhan,Hubei,430065,P.R.China) |
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| Abstract: | In this paper,we research quasi-martingale Hardy spaces with variable exponents.We give the atomic decomposition of quasi-martingale Hardy spaces with variable exponents and prove the boundedness of sublinear operator on every p(·)-quasi-atom.These results generalize the known conclusions in martingale Hardy spaces with variable exponents. |
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| Keywords: | quasi-martingale variable exponent atomic decomposition sublinear operator |
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