广州数学大讲坛第五期

第四十三讲—浙江科技大学房启全副教授学术报告

题目：Norm-controlled inversions for localized integral operators on a compact space of homogeneous type

时间：2026年10月15日（周四）晚上19:00

地点：腾讯会议（会议ID：227-794-542)

报告人：房启全 副教授

摘要：In this talk, we consider two Banach algebras of localized integral operators on compact spaces of homogeneous type with finite diameter. One is the Banach algebra ${\mathcal D}_\alpha$ for localized integral operators of Gr\"ochenig-Schur type. The other one is the Banach algebra \(\tilde{\mathcal{D}}_\alpha\) for localized integral operators with singular kernel near diagonal. We show that the norm-controlled inversion of their unital Banach algebras \(\mathbb{D}_\alpha\) and \(\tilde{\mathbb{D}}_\alpha\) holds in the Banach algebra ${\mathcal B}(L^2),$ the set of all bounded linear operators on the Hilbert space $L^2$ of square-integrable functions.This is based on the joint paper with Professor Shin (Sogang University), Aiqi Guo and Wenjue Wang.

报告人简介：

房启全，浙江科技大学理学院副教授、硕士生导师，博士毕业于湖南师范大学，主要从事调和分析及其应用、范数控制反演、奇异积分算子的有界性及维纳引理等相关领域的研究，相关成果应用于图像处理、采样理论和稀疏优化等方向。曾赴美国中佛罗里达大学开展访问研究。在Journal of Fourier Analysis and Applications、Mathematische Nachrichten、Monatshefte für Mathematik 等国际学术期刊发表论文10余篇。主持国家自然科学基金项目2项，参与国家自然科学基金项目5项、省部级项目4项。曾获科大青年英才、浙江省高校优秀党务工作者等荣誉称号。