A Maximum Principle for the Bergman Space 481

The Maximum Principle for the Bergman Space and the Möbius Pseudodistance for the Annulus

It is shown that the formula for the Möbius pseudodistance for the annulus yields better estimates than previously known for the constant in the Bergman space maximum principle.

Self-commutators of composition operators with monomial symbols on the Bergman space

Let $varphi(z)=z^m, z in mathbb{U}$, for some positive integer $m$, and $C_varphi$ be the composition operator on the Bergman space $mathcal{A}^2$ induced by $varphi$. In this article, we completely determine the point spectrum, spectrum, essential spectrum, and essential norm of the operators $C^*_varphi C_varphi, C_varphi C^*_varphi$ as well as self-commutator and anti-self-commutators of $C_...

On Some Properties of Analytic Spaces Connected with Bergman Metric Ball

Classical and Modern Control Strategies in Glucose-insulin Stabilization

This paper presents an analysis of classical and modern control methods for blood glucose control of diabetic patients under intensive care. Employing a modified twocompartment model proposed by Bergman, et al. (1979), linear feedback control law leads to a fully symbolic solution. In case of nonlinear approach, considering glucose injection as the only control variable and using Pontryagin's m...

$L^p$ boundedness of the Bergman projection on some generalized Hartogs triangles

‎In this paper we investigate a two classes of domains in $mathbb{C}^n$ generalizing the Hartogs triangle‎. ‎We prove optimal estimates for the mapping properties of the Bergman projection on these domains.