Timothy G. Clos

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20182021

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math.CV2021

A uniform algebra approach to an approximation theorem of Sahutoglu and Tikaradze

Timothy G. Clos, Alexander J. Izzo

Using methods from the theory of uniform algebras, we give a simple proof of an approximation result of Sahutoglu and Tikaradze with $L^{\infty}$ -pseudoconvex domains replaced by the…

math.CV2020

Compactness of composition operators on the Bergman space of bounded pseudoconvex domains in $C^{n}$

Timothy G. Clos

We study the compactness of composition operators on the Bergman spaces of certain bounded pseudoconvex domains in $C^{n}$ with non-trivial analytic disks contained in the b…

math.CV2019

Compactness and Singular Points of Composition Operators on Bergman spaces

Timothy G. Clos

Let $Ω \subset C^{n}$ for $n \geq 2$ be a bounded pseudoconvex domain with a $C^{2}$ -smooth boundary. We study the compactness of composition operators on the Bergman spaces of…

math.CV2018

Hankel Operators on the Bergman spaces of Reinhardt Domains and Foliations of Analytic Disks

Timothy G. Clos

Let $Ω \subset C^{2}$ be a bounded pseudoconvex complete Reinhardt domain with a smooth boundary. We study the behavior of analytic structure in the boundary of $Ω$ and obtai…

math.CV2018

Compactness of Hankel operators with symbols continuous on the closure of pseudoconvex domains

Timothy G. Clos, Mehmet Celik, Sonmez Sahutoglu

Let $Ω$ be a bounded pseudoconvex domain in $C^{2}$ with Lipschitz boundary or a bounded convex domain in $C^{n}$ and $ϕ \in C (Ω)$ such that $H_{ϕ}$ is compact…

A uniform algebra approach to an approximation theorem of Sahutoglu and Tikaradze

Compactness of composition operators on the Bergman space of bounded pseudoconvex domains in Cn

Compactness and Singular Points of Composition Operators on Bergman spaces

Hankel Operators on the Bergman spaces of Reinhardt Domains and Foliations of Analytic Disks

Compactness of Hankel operators with symbols continuous on the closure of pseudoconvex domains

Compactness of composition operators on the Bergman space of bounded pseudoconvex domains in $C^{n}$