袁文副教授、刘丽光博士学术报告

报告题目: Interpolation on Smoothness Spaces Related to Morrey Spaces
报告时间：报告时间：7月3日下午14:00—15:00
报告地点：数理楼221
报告摘要:
We study the interpolation of Morrey-Campanato spaces and some smoothness spaces based on Morrey spaces, including Besov-Morrey spaces, Triebel- Lizorkin-Morrey spaces, Besov-type spaces and Triebel-Lizorkin-type spaces. Various interpolation methods, including the complex method, the real method, the ±-method and the Peetre-Gagliardo method, are studied in such a framework. As an application, the Haar wavelet characterization of these spaces are obtained.



报告题目: Heat kernel and Lipschitz-Besov Spaces.
报告时间：7月3日下午15:20—16:20
报告地点：数理楼221


报告摘要:
On a metric measure space $(M, \rho, \mu)$ we consider a family of the Lipschitz-Besov spaces $\Lambda_{p,q}^{s}$ that is defined only using the metric $\rho $ and measure $\mu $, and a family of Besov spaces $B_{p,q}^{s}$ that is defined using an auxiliary self-adjoint operator $L$ and the associated heat semigroup. Under certain assumptions about the heat kernel of $L$, we prove the identity of the two families of the function spaces. This is a joint work with Professor Alexander Grigor’yan.



数学系
2014-6-19