走向现代数学学术报告 - 吴方磊博士(No. 944)
报告题目:Optimal off-diagonal upper estimates for Bergman reproducing kernels
报告时间:2026年5月28日 11:40
腾讯会议ID:992-157-549
报 告 人:吴方磊 博士(东芬兰大学)
邀 请 人:王大斌教授
报告摘要:We establish a sharp off-diagonal pointwise upper estimate for the Bergman reproducing kernel associated with a radial weight on the unit disc that satisfies a natural one-sided doubling condition on its moments. The standard kernels demonstrate that this estimate is sharp, up to a multiplicative constant, at every point. We also show that the estimate in fact characterizes the class of radial doubling weights under consideration. Three useful applications are also provided. This is a joint work with A. Pennanen, J. Rattya and S. Wang. 报告人简介:吴方磊,博士分别毕业于汕头大学与东芬兰大学。现为东芬兰大学博士后研究员。 主要研究方向为解析函数空间与算子理论,相关学术成果发表于Adv. Math., Math. Z., J. G. A.等期刊。