报告摘要：
| In this talk, I will present my recent joint work with Tao Mei, Honghai Liu on matrix-valued T1 theorem which was a mystery since the paraproducts with bounded matrix-valued symbol are known to be unbounded on L2 space. In addition to probabilistic method, the main novelty of our argument is the exploitation of the symmetry of the paraproduct and its adjoint. If time is allowed, I shall present related results on multiplication between function spaces on quantum Euclidean space/tori. At some point,I shall give a short introduction to noncommutative Lp spaces,which is one important part of foundations of noncommutative analysis.
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