Sharp L^2-L^{2n} Wehrl inequalities hold for matrix coefficients of vector-valued holomorphic discrete series, with maximizers exactly the reproducing kernels.
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Wehrl inequalities for matrix coefficients of holomorphic discrete series
Sharp L^2-L^{2n} Wehrl inequalities hold for matrix coefficients of vector-valued holomorphic discrete series, with maximizers exactly the reproducing kernels.