Title:A Brief Introduction to Operator-Valued Hardy and BMO Spaces
Speaker:Wenhua Wang (Wuhan University)
Time:Wednesday, June 7, 2023, 9:00-10:00
Location: B201-1, Mingde Building
Abstract：In this talk, we further study the operator-valued Hardy and BMO spaces introduced by Tao Mei, and establish the wavelet characterizations of Hrady spaces and harmonic extension of non-commutative BMO functions. In addition, we introduced a kind of general Hardy spaces, that is, operator-valued Hardy spaces associated with anisotropic dilations, and we also establish the classical Fefferman's duality theorem between Hardy and BMO spaces in our setting. As applications, we also obtain the real and complex interpolations theory on these spaces. This is joint work with Dr. Cheng Chen, Prof. Guixiang Hong and Prof. Xinfeng Wu.
More information: Graduate Student Seminar
