Sonmez Sahutoglu

activity

20182020

collaborators

4 papers

math.CV2020

On convergence of the Berezin transforms

Nihat Gokhan Gogus, Sonmez Sahutoglu

We prove approximation results about sequences of Berezin transforms of finite sums of finite product of Toeplitz operators (and bounded linear maps, in general) in the spirit of R…

math.CV2019

Berezin regularity of domains in C^n and the essential norms of Toeplitz operators

Zeljko Cuckovic, Sonmez Sahutoglu

For the open unit disc $D$ in the complex plane, it is well known that if $ϕ \in C (D)$ then its Berezin transform $ϕ$ also belongs to $C(\over…

math.CV2019

Convex domains, Hankel operators, and maximal estimates

Mehmet Celik, Sonmez Sahutoglu, Emil J. Straube

Let $1 \leq q \leq (n - 1)$ . We first show that a necessary condition for a Hankel operator on $(0, q - 1)$ -forms on a convex domain to be compact is that its symbol is holomorphic along…

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…