数学系 Seminar 第 2019 期
2020年建设高水平大学项目——研究生课程《近代分析》系列报告
报告主题：齐型空间上加权帐篷空间的q-原子分解及其应用
报 告 人：宋亮 教授 （中山大学）
报告时间：2020年10月22日（周四） 14:00
参会方式：腾讯会议
会议ID：462 502 335
邀 请 人：赵发友
主办部门：理学院数学系
报告摘要：The theory of tent spaces on R^n was introduced by Coifman, Meyer and Stein, including atomic decomposition, duality theory and so on. Russ generalized the atomic decomposition for tent spaces to the case of spaces of homogeneous type $(X,d,\mu)$. The main purpose of this paper is to extend the results of Coifman, Meyer, Stein and Russ to weighted version. More precisely, we obtain a $q$-atomic decomposition for the weighted tent spaces $T^p_{2,w}(X)$, where $0<p\leq 1, 1<q<\infty,$ and $w\in A_\infty$. As an application, we give an atomic decomposition for weighted Hardy spaces associated to nonnegative self-adjoint operators on $X$. This is a joint work with Dr. Liangchuan Wu.
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