Let L be a holomorphic line bundle on a compact complex manifold X of dimension n, and let e be a continuous metric on L. Fixing a measure dμ on X gives a sequence of Hilbert spaces consisting of holomorphic sections of tensor powers of L. We prove that the corresponding sequence of scaled Bergman measures converges, in the high tensor power limit, to the equilibrium measure of the pair (K,φ), ...

In this work,we explore the theme of $$L^p$$ -boundedness Bergman projections domains that can be covered, in sense ramified coverings, by “nice” (e.g., strictly pseudoconvex with real analytic boundary). particular, we focus on two-dimensional normal coverings whose covering group is a finite unitary reflection group. an infinite family examples, are able to prove projection for every $$p\in (...