We establish the dimension-free boundedness of Riesz transforms on weighted hypercubes. The proof is based on the boundedness of Riesz transforms associated with the nontracial baby Fock model. Our results also extend to q-Araki-Woods algebras. This is a joint work with Hun Hee Lee, Zhendong Xu and Sang-Gyun Youn.

报告人简介：张昊，现为西班牙ICMAT博士后。博士毕业于Université de Franche-Comté。曾任美国伊利诺伊大学香槟分校研究助理教授和韩国首尔大学博士后研究员。研究方向为泛函分析和调和分析。