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报告人：张根凯（瑞典Chalmers University of Technology 和Gothenburg University）

时间：2024年04月10日 14:00-

地点：理科楼LA103

摘要：Bergman spaces of vector-valued holomorphic functions on bounded symmetric domains D = G/K are realization of holomorphic discrete series (π,G) of G. We prove some Wehrl type L2 – Lp inequalities for the Bergman spaces with the best constant being explicitly computed using the formal degree of the (π,G). We introduce also a class of G = SU(d, 1)-invariant trace preserving totally positive maps A T (A) from operators A on one Bergman spaces to to operators on other Bergman spaces. We prove that the Lp-norm of Bergman space functions f can be computed using the functional calculus of the operator T (A) for A = Pf being the rank one projection on f.

简介：张根凯，瑞典Chalmers University of Technology 和Gothenburg University 数学系教授。2001获瑞典数学会的 Wallenberg 奖。现为中科院数学所现代分析创新团队海外成员，韩国高等研究所KIAS 学者。张教授长期从事有界对称域上的复分析和调和分析，李群表示论和函数空间上的 Hankel 算子等多个领域的研究，并做出了多项具有重要国际影响的研究工作，其研究成果发表在 Duke Math . J., Adv. Math., Math. Ann., J. Funct. Analysis, Int. Math. Res. Notices 等国际一流数学刊物上。

邀请人：数学研究中心

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