23 citations · 78 across the 29 of their papers we have counts for
37 papers
The - regularity problem for the Bergman projection of two-dimensional Rudin ball quotients
Debraj Chakrabarti, Alessandro Monguzzi
We solve the -regularity problem of the Bergman projection of two-dimensional Rudin ball quotients.
The -problem on -domains
Debraj Chakrabarti, Phillip S. Harrington, Andrew Raich
Given a complex manifold containing a relatively compact domain, we give sufficient geometric conditions on the domain so that its -cohomology in degree (known…
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…
Projections onto -Bergman spaces of Reinhardt Domains
Debraj Chakrabarti, Luke D. Edholm
For , we emulate the Bergman projection on Reinhardt domains by using a Banach-space basis of -Bergman space. The construction gives an integral kernel generalizin…
Polarization Identities
Chase Bender, Debraj Chakrabarti
We prove a generalization of the polarization identity of linear algebra expressing the inner product of a complex inner product space in terms of the norm, where the field of scal…
Power series as Fourier series
Debraj Chakrabarti, Anirban Dawn
An abstract theory of Fourier series in locally convex topological vector spaces is developed. An analog of Fejér's theorem is proved for these series. The theory is applied to dis…