2023年第8期第71讲：段永江教授学术报告

广州数学大讲坛第八期

第七十一讲——东北师范大学段永江教授学术报告

题目：Two weight inequality for Hankel form on weighted Bergman spaces induced by doubling weights

时间：2023年10月7日（星期六） 下午2:30-3:30

地点：腾讯会议（会议ID:104-544-297,会议密码：231007）

报告人：段永江 教授

摘要：The boundedness of the small Hankel operator induced by an analytic symbol $f$ and the Bergman projection $P_\nu$ associated to $\nu$, acting from the weighted Bergman space $A^p_\omega$ to $A^q_\nu$ is characterized on the full range $0<p,q<\infty$ when $\omega,\nu$ belong to the class $\mathcal{D}$ of radial weights admitting certain two-sided doubling conditions. Certain results obtained are equivalent to the boundedness of bilinear Hankel forms, which are in turn used to establish the weak factorization of the Bergman spaces. The talk is based on the recent joint work with J.~Rattya, S. Wang and F. Wu.

报告人简介：

段永江，东北师范大学数学与统计学院教授，博士生导师。主要研究函数空间上的算子理论及相关的分析领域。主持国家自然科学基金项目三项，主要结果发表在Adv. Math., J. Geom. Anal.,J. Operator theory, Potential Anal., Studia Math. Science China Math.等知名数学杂志。