A class of Dirichlet spaces with nonradial weights-东北师范大学数学与统计学院

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A class of Dirichlet spaces with nonradial weights

时间：2023年12月06日 10:26 点击数：

报告人：鲍官龙

报告地点：数学与统计学院104室

报告时间：2023年12月09日星期六13:30:14:30

邀请人：段永江

报告摘要：

In 2017, G.Bao, N.G.Gogus and S.Pouliasis considered a class of Dirichlet type spaces with nonradial weights. These weights are certain variants of the Green potential. In this talk, we give some recent results on these Dirichlet type spaces. These results are related to the Littlewood-Paley estimates, the Alexander-Taylor-Ullman inequality, composition operators, and Carleson measures. In particular, the theory of these Dirichlet type spaces can yield some equivalent descriptions of the problem of determining Carleson measures for the Bloch space, and partial answer to the question of determining the weights $K$ such that the M\”obius invariant function space $Q_K$ is equal to $BMOA$.

主讲人简介：

鲍官龙，汕头大学数学系副教授。2014年博士毕业于汕头大学，主要研究解析函数空间理论，学术论文发表于Canad. J. Math., C. R. Math. Acad. Sci. Paris, J. Geom. Anal., Proc. Amer. Math. Soc., Studia Math.等刊物。主持在研一项国家自然科学基金面上项目。