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math.CV2018★ 2 cited
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…
math.CV2018
Hartogs Domains and the Diederich Fornæss Index
Muhenned Abdulsahib, Phillip S. Harrington
We study a geometric property of the boundary on Hartogs domains which can be used to find upper and lower bounds for the Diederich-Fornæss Index. Using this, we are able to show t…
math.CV2018
Boundary invariants and the closed range property for
Phillip S. Harrington, Andrew Raich
This paper provides a connection between two distinct branches of research in CR geometry -- namely, analytic and geometric conditions that suffice to establish the closed range of…