报告人：袁文

报告题目：Parabolic Campanato space with time lag

报告摘要： In this talk, we introduce the parabolic Campanato space $\mathrm{PC}_{\phi,\gamma}^+$ with time lag $\gamma\in(0,1)$, associated with an almost increasing function $\phi$. By establishing the related parabolic John--Nirenberg inequality, we characterize this space in terms of the parabolic exponential integrability, the maximal medians, and its one-sided versions. As applications, we characterize the null space of $\mathrm{PC}_{\phi,\gamma}^+$, prove the coincidence to parabolic Lipschitz space with time lag, and clarify its relation to the classical Campanato spaces. We also quantify the distance from functions in the parabolic BMO space with time lag to $L^\infty$.

报告时间：2026年11月12日 19：30-20：30

报告形式：线上报告（腾讯会议780-660-724）

报告人简介：北京师范大学数学科学学院教授、博士生导师，主要从事调和分析与函数空间研究。主持多个国家自然科学基金。学术成果发表于《Lecture Notes in Mathematics》《Advances in Mathematics》《Mathematische Annalen》《Journal of Functional Analysis》等等。