广州数学大讲坛第三期

第二十五讲——东芬兰大学Jouni Rattya教授学术报告

题目：Open problems related to Lebesgue, Bergman and tent spaces induced by non-radial doubling weights

时间：2026年5月1日(周五)上午10：00

地点：理学实验楼312

报告人：Jouni Rattya 教授

摘要：Let $\omega$ be a non-negative $L^1$-function in the unit disc of the complex plane. In this talk we discuss open problems related to the Lebesgue, Bergman and tent spaces induced those $\omega$ that satisfy a geometric doubling property over Carleson squares. The questions discussed are related to the non-tangential maximal function over Bergman cones, Hörmander maximal function, Carleson measures and bounded point evaluations. The importance of the problems discussed in the operator theory is also explained.

报告人简介：

Jouni Rattya，东芬兰大学物理与数学系教授。主要研究方向集中在算子理论、解析函数空间及复微分方程等领域。已发表学术论文80余篇，其中包括Mem. Amer. Math. Soc., Adv. Math., Math. Ann., J. Math. Pure. Appl., Proc. Lon.Math. Soc., JFA, Tran. Amer. Math. Soc., Math.Z., J. Geom. Anal., J. Anal. Math.等著名数学期刊。主持芬兰科学院项目等科技类项目多项。