23 citations · 78 across the 29 of their papers we have counts for
4 papers · 1 filter
A Modified Morrey-Kohn-Hörmander Identity and Applications
Debraj Chakrabarti, Phillip S. Harrington
We prove a modified form of the classical Morrey-Kohn-Hörmander identity, adapted to pseudoconcave boundaries. Applying this result to an annulus between two bounded pseudoconvex d…
On an observation of Sibony
Debraj Chakrabarti
It is shown that if the boundary of a Reinhardt domain in contains the origin, each holomorphic function on the domain which is infinitely many times differentiable…
Fourier Representations in Bergman Spaces
Debraj Chakrabarti, Pranav Upadrashta
We consider a class of domains, generalizing the upper half-plane, and admitting rotational, translational and scaling symmetries, analogous to the half-plane. We prove Paley-Wiene…
Duality and approximation of Bergman spaces
D. Chakrabarti, L. D. Edholm, J. D. McNeal
Expected duality and approximation properties are shown to fail on Bergman spaces of domains in , via examples. When the domain admits an operator satisfying certain…