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math.CV2025
A Hermitian metric on hyperbolic complex manifolds
Debraj Chakrabarti, Prachi Mahajan
We describe a method of defining a Hermitian metric on Kobayashi hyperbolic manifolds. The metric is distance decreasing under holomorphic mappings, up to a multiplicative constant…
math.CV2025
Restricted type estimates on the Bergman projection of some singular domains
Debraj Chakrabarti, Zhenghui Huo
We obtain (weighted) restricted type estimates for the Bergman projection operator on monomial polyhedra, a class of domains generalizing the Hartogs triangle. From these estimates…