A Brief Introduction to Operator-Valued Hardy and BMO Spaces

发布时间:2023-06-05浏览次数:567

题目:A Brief Introduction to Operator-Valued Hardy and BMO Spaces


报告人:王文华(武汉大学


时间:2023年6月7日(星期三),09:00-10:00


地点:哈工大明德楼B区201报告厅


摘要: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.


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