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

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2 papers · 1 filter

math.AP2023

On the Poincaré inequality on open sets in $R^{n}$

A. -K. Gallagher

We show that the Poincaré inequality holds on an open set $D \subset R^{n}$ if and only if $D$ admits a smooth, bounded function whose Laplacian has a positive lower bound on…

math.AP2017

Convexity of level lines of Martin functions and applications

A. -K. Gallagher, J. Lebl, K. Ramachandran

Let $Ω$ be an unbounded domain in $R \times R^{d} .$ A positive harmonic function $u$ on $Ω$ that vanishes on the boundary of $Ω$ is called a Martin function. In thi…

On the Poincaré inequality on open sets in Rn

Convexity of level lines of Martin functions and applications

On the Poincaré inequality on open sets in $R^{n}$