K(z,w) reproducing kernel for L²-holomorphic functions on Ω. K(z,z) = sup{|f(z)|² : ||f||₂ = 1}. Bergman metric ds² = ∂²log K/∂z_i∂z̄_j Kähler-Einstein on bounded domains (Cheng-Yau). Used in pseudoconvex domain geometry.
K(z,w) reproducing kernel for L²-holomorphic functions on Ω. K(z,z) = sup{|f(z)|² : ||f||₂ = 1}. Bergman metric ds² = ∂²log K/∂z_i∂z̄_j Kähler-Einstein on bounded domains (Cheng-Yau). Used in pseudoconvex domain geometry.