| 陈嵩箐,方权清,潘思慧.Littlewood-Paley算子的混合弱型Fefferman-Stein不等式及其应用[J].数学年刊A辑,2026,(1):11~32 |
| Littlewood-Paley算子的混合弱型Fefferman-Stein不等式及其应用 |
| Mixed Weak Type Inequalities of Fefferman-Stein Type for Littlewood-Paley Operators and Its Application |
| Received:January 03, 2026 Revised:March 05, 2026 |
| DOI:10.16205/j.cnki.cama.2026.0002 |
| 中文关键词: Littlewood-Paley算子 混合弱型Fefferman-Stein不等式 双权弱型不等式 |
| 英文关键词:Littlewood-Paley operators Mixed weak type inequalities of Fefferman-Stein type Two-weight weak type inequalities |
| 基金项目:国家自然科学基金(No.12426654, No.12426645);福建省自然科学基金项目(No.2025J01361);莆田学院科研启动项目(No.2020002) |
| Author Name | Affiliation | | CHEN Songqing | Hubei Key Laboratory of Digital Finance Innovation, Hubei University of Economics, Wuhan 430205, China Interdisciplinary Research Institute in New Finance and Economics, Hubei University of Economics, Wuhan 430205, China | | FANG Quanqing | Fujian Key Laboratory of Financial Information Processing, Putian University, Putian 351100, Fujian, China Key Laboratory of Applied Mathematics, Putian University, Putian 351100, Fujian, China | | PAN Sihui | School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, Fujian, China |
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| 中文摘要: |
| 建立了Littlewood-Paley算子的混合弱型Fefferman-Stein不等式, 该结论即使在单权情形下也是一个新结论. 作为应用, 还建立了Littlewood-Paley算子的双权弱型不等式. |
| 英文摘要: |
| In this paper, the authors establish mixed weak type inequalities of Fefferman-Stein type for Littlewood-Paley operators. The results are also new even in the case of one-weight. As applications, the authors also establish the two-weight weak type inequalities for Littlewood-Paley operators. |
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