S. Gardiner

activity

20132020

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math.CA2019

Isoperimetric inequalities for Bergman analytic content

Stephen J. Gardiner, Marius Ghergu, Tomas Sjödin

The Bergman $p$ -analytic content ( $1 \leq p < \infty$ ) of a planar domain $Ω$ measures the $L^{p} (Ω)$ -distance between $z$ and the Bergman space $A^{p} (Ω)$ of holomorphic…

math.CA2017

Harmonic functions which vanish on coaxial cylinders

Stephen J. Gardiner, Hermann Render

It was recently established that a function which is harmonic on an infinite cylinder and vanishes on the boundary necessarily extends to an entire harmonic function. This paper co…