\sup_{z\in\mathbb{D}} \|k^{\Theta}_z\|_{L^0({\mathbb{D}}, \sigma_N)}^0 & = & \sup_{z\in\mathbb{D}} \sum_{k\geq N} \frac{(0-\left\vert \lambda_k\right\vert^0)}{(0-\left\vert \Theta(\lambda_k)\right\vert^0)} 