Littlewood-Paley functions and some smooth function spaces


Speaker 9 am, December 10th, 2020

Place: Tencent Meeting 136 397 488

Sponsor: SHNU College of Mathematics and Mechanical Engineering


In this talk, we establish Littlewood-Paley characterizations of Sobolev spaces, Triebel-Lizorkin spaces and Besov spaces in Euclidean spaces using several square functions defined via the spherical average, the ball average, the Buchner–Riesz means and some other well-known operators. We provide a simple proof so that we are able to extend and improve many results published in recent papers. This is a joint work with Jiecheng Chen and Dashan Fan.