分析和微分方程讨论班

报告题目：A weak type $(p_0,a)$ criterion for operators, and applications

报告人：El Maati OUHABAZ (Universite Bordeaux I)

时间：2026年10月26日，16:00-17:00

地点：海纳苑2幢312

摘要：Let $(X, d, \mu)$ be a space of homogeneous type and $\Omega$ an open subset of $X$. Given a bounded operator$T: L^p(\Omega) \to L^q(\Omega)$ for some $1 \le p \le q < \infty$. We give criteria for $T$ to be  of  weak type $(p_0, a)$ for $p_0$ and $a$ such that  $\frac{1}{p_0} - \frac{1}{a} = \frac{1}{p}-\frac{1}{q}$. We illustrate the results by  applications Riesz potentials and some $L^p-L^q$ spectral multipliers. We also discuss  boundedness  from the Hardy space $H^1_L$ associated with the operator $L$ into $L^a(X)$ and so by duality boundedness from $L^{a'}(X)$ into $\text{BMO}_L$.

联系人：王梦（mathdreamcn@zju.edu.cn）