Invited by Prof. Jun Geng and Pro. Sibei Yang, Prof. Wen Yuan from Beijing Normal University will give a lecture online.

Title: Some progresses on John--Nirenberg type spaces

Time: 15:00 p.m.,Apr. 20th, 2021

Conference ID: 511 144 349( Tencent Conference)

Abstract: The John--Nirenberg spaces $JN_p$ with $p\in[1,\infty)$, together with {\rm BMO}, the space of functions with bounded mean oscillation, were introduced by John and Nirenberg in their celebratedarticle [Comm. Pure Appl. Math. 14 (1961), 415--426], andit is known that the limit space of $JN_p$ as $p\to\infty$ is just {\rm BMO}.In recent years, there exists an increasing interest in John--Nirenberg spaces and some of their variants.In this talk, we introduce some recent progresses on this topic, including

1.The {\rm VMO} and {\rm CMO} type subspaces of John-Nirenberg spaces and their equivalent characterizations;

2.The fractionalization of John-Nirenberg spaces-John-Nirenberg-Campanato spaces;

3.A congruent version of John-Nireberg-Campanato spaces.

This talk is based on thejoint work with Hongchao Jia, Jin Tao, Dachun Yang and Yangyang Zhang.