1 citations · 3 across the 5 of their papers we have counts for
5 papers · 1 filter
Bergman kernels of Monomial Polyhedra
Debraj Chakrabarti, Isaac Cinzori, Ishani Gaidhane +2
The Bergman kernels of monomial polyhedra are explicitly computed. Monomial polyhedra are a class of bounded pseudoconvex Reinhardt domains defined as sublevel sets of Laurent mono…
Some non-pseudoconvex domains with explicitly computable non-Hausdorff Dolbeault cohomology
Debraj Chakrabarti
We explicitly compute the Dolbeault cohomologies of certain domains in complex space generalizing the classical Hartogs figure. The cohomology groups are non-Hausdorff topological…
Mapping Properties of the Bergman Projection on the Hartogs Triangle
Debraj Chakrabarti, Yunus E. Zeytuncu
We prove optimal estimates for the mapping properties of the Bergman projection on the Hartogs triangle in weighted spaces when , where the weight is a power o…
Hölder estimates for Cauchy-Type Integrals and proper holomorphic mappings of symmetric products
Evan Castle, Debraj Chakrabarti, David Gunderman +1
We prove estimates in Hölder spaces for some Cauchy-type integral operators representing holomorphic functions in Cartesian and symmetric products of planar domains. As a consequen…
Serre Duality on Domains in Complex Manifolds and Applications
Debraj Chakrabarti, Mei-Chi Shaw
An version of the Serre duality on domains in complex manifolds involving duality of Hilbert space realizations of the -operator is established. This duality…