Let D = G/K be a bounded symmetric domain and be a unitary representation.We consider the weighted Bergman space of V-valued holomorphic functions on D realizing the holomorphic discrete series representation of G. We prove an Wehrl type inequality for the Bergman space. The best constant is expressed in terms of the Harish-Chandra formal degree. (Joint work with Robinvan Haastrecht.)
海报2.pdf
