Isoperimetric inequalities for Bergman analytic content

Stephen J. Gardiner, Marius Ghergu, Tomas Sjödin

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