7 citations
2 papers
math.CV2021★ 2 cited
On the dimension of Bergman spaces on
Anne-Katrin Gallagher, Purvi Gupta, Liz Vivas
Inspired by a result by Szőke, we give potential-theoretic characterizations of the dimension of the Bergman space of holomorphic sections of a restriction of a holomorphic line bu…
math.CV2020★ 7 cited
Hardy Spaces for a Class of Singular Domains
Anne-Katrin Gallagher, Purvi Gupta, Loredana Lanzani +1
We set a framework for the study of Hardy spaces inherited by complements of analytic hypersurfaces in domains with a prior Hardy space structure. The inherited structure is a filt…