Anne-Katrin Gallagher

activity

20162023

most citedHardy Spaces for a Class of Singular Domains

7 citations · 16 across the 8 of their papers we have counts for

collaborators

Showing 2022Show all

2 papers · 1 filter

math.CV2022

On the dimension of bundle-valued Bergman spaces on compact Riemann surfaces

Anne-Katrin Gallagher, Purvi Gupta, Liz Vivas

Given a holomorphic vector bundle $E$ over a compact Riemann surface $M$ , and an open set $D$ in $M$ , we prove that the Bergman space of holomorphic sections of the restriction of…

math.CV2022

On plurisubharmonic defining functions for pseudoconvex domains in $C^{2}$

Anne-Katrin Gallagher, Tobias Harz

We investigate the question of existence of plurisubharmonic defining functions for smoothly bounded, pseudoconvex domains in $C^{2}$ . In particular, we construct a family o…

On the dimension of bundle-valued Bergman spaces on compact Riemann surfaces

On plurisubharmonic defining functions for pseudoconvex domains in C2

On plurisubharmonic defining functions for pseudoconvex domains in $C^{2}$