讲座题目一：Two-stage local rank estimation for generalised partially linear varying-coefficient models

讲座摘要：In this talk, firstly, we introduce some new characterizations of the inhomogeneous Besov and Triebel-Lizorkin spaces associated with para-accretive functions $b$ on spaces of homogeneous type. At the same time, we prove that the definitions of these spaces are independent of the choice of approximations to the identity. Secondly, we establish the $Tb$ theorems for the Calder\'on-Zygmund singular integral operator with non-convolution kernel on these new inhomogeneous Besov and Triebel-Lizorkin spaces. Moreover, in our results, the index $p$ and $q$ of these Besov and Triebel-Lizorkin spaces could be less than or equal to 1.

讲座时间：2023年12月31日（周日）上午9:30

讲座地点：综合楼812会议室

嘉宾简介：郑涛涛，副教授、硕士生导师，2015年毕业于浙江大学数学系，获理学博士学位，2018.09-2019.09 美国奥本大学访问学者。主要从事调和分析及其应用等方面的研究工作。浙江省高校“双带头人”教师党支部书记工作室负责人，先后主持国家自然科学基金与浙江省自然科学基金各1项，参与国家自然科学基金4项。在 J. Geom. Anal.、New York J. Math.、Banach J. Math. Anal.、中国科学：数学等期刊上发表论文20余篇。

讲座题目二：Wiener’s lemma on Graph and its applications

讲座摘要：We consider the Sun-Beurling algebras of infinite matrices on simple graphs. We show that they are quasi-Banach algebras of spatially decaying matrices, and admits Wiener’s lemma in the Banach algebra $\mathcal{B}(\ell^2)$. We give the conditions for exponential stability of spatially decaying system over the Sun-Beurling algebras and prove that the unique solutions of the Lyapunov, Riccati and Sylvester equations over the Sun-Beurling algebras also belong to the Sun-Beurling algebras.

讲座时间：2023年12月31日（周日）上午11:00

讲座地点：综合楼812会议室

嘉宾简介：房启全，浙江科技大学副教授，硕士生导师，人事处副处长，研究方向为调和分析与小波。主持完成国家自然科学基金项目2 项，在《J. Fourier Anal. Appl.》、《Math. Nachr》、《Monatsh. Math》等学术期刊发表论文10余篇。2018年，被评为科大青年英才。