2 papers
math.CV2019
The closed range property for the -operator on planar domains
A. -K. Gallagher, J. Lebl, K. Ramachandran
Let be an open set. We show that has closed range in if and only if the Poincaré-Dirichlet inequality holds. Moreover, we give…
math.CV2016
On the dimension of the Bergman space for some unbounded domains
A. -K. Gallagher, T. Harz, G. Herbort
A sufficient condition for the infinite dimensionality of the Bergman space of a pseudoconvex domain is given. This condition holds on any pseudoconvex domain that has at least one…