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Matrix-weighted martingale inequalities

来源:
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发布时间:2026-06-18
报告时间:
2026年6月18日 (周四)上午10:00-11:00
报告地点:
国交2号楼315会议室
报告人:
​吴恋
报告人单位:
中南大学
邀请人:
王春花
摘要:
We introduce the martingale Ap condition for matrix weights and establish matrix-weighted Doob maximal inequalities for vector- valued martingales. The proof mainly relies on the idea of principal sets and new sparse dominations. Our approach enables us to obtain the optimal dependence of the constant on the characteristic of the weight involved. We also obtain quantitative weighted norm estimates for martingale square functions in both scalar- weighted and matrix-weighted settings.

吴恋(中南大学)