报告人简介:
王茂发,武汉大学数学与统计学院教授,博士生导师,武汉大学数学与统计学院副院长,全国泛函分析空间理论学术委员会委员,现代分析数学及其应用学术委员会委员,全国全纯函数空间理论学术委员会委员,主要研究领域为泛函分析及其应用、函数空间上的算子理论,先后承担国家自然科学重点项目、面上项目等多项,在J. Funct. Anal., J. Operator Theory, Math. Z., Indiana Univ. Math. J., Sci. China Math.等期刊上发表学术论文一百余篇,曾获得湖北省自然科学奖。
报告简介:
This talk is devoted to the study of boundedness, compactness, and Schatten class membership of commutators associated with singular integral operators on spaces of homogeneous type with finite measure. When the underlying space is connected, we obtain quantitative estimates for the boundedness and Schatten class membership of commutators. Moreover, we give an example to show that this connectedness condition is “almost” optimal to ensure quantitative estimates.