Sonmez Sahutoglu

activity

20162025

L^{p}

regularity of the Berezin transform

7 citations · 8 across the 5 of their papers we have counts for

collaborators

Showing 2020Show all

5 papers · 1 filter

math.CV2020

A Sufficient condition for compactness of Hankel operators

Mehmet Celik, Sonmez Sahutoglu, Emil J. Straube

Let $Ω$ be a bounded convex domain in $C^{n}$ . We show that if $φ \in C^{1} (Ω)$ is holomorphic along analytic varieties in $b Ω$ , then $H_{φ}^{q}$ , the Hankel operato…

math.CV2020

On compactness and $L^{p}$ -regularity in the $\partial$ -Neumann problem

Sonmez Sahutoglu, Yunus E. Zeytuncu

Let $Ω$ be a $C^{4}$ -smooth bounded pseudoconvex domain in $C^{2}$ . We show that if the $\partial$ -Neumann operator $N_{1}$ is compact on $L_{(0, 1)}^{2} (Ω)$ then the em…

math.CV2020

Zero products of Toeplitz operators on Reinhardt domains

Zeljko Cuckovic, Zhenghui Huo, Sonmez Sahutoglu

Let $Ω$ be a bounded Reinhardt domain in $C^{n}$ and $ϕ_{1}, \dots, ϕ_{m}$ be finite sums of bounded quasi-homogeneous functions. We show that if the product of Toeplitz operator…

math.CV2020

Compactness of Hankel operators with continuous symbols on convex domains

Mehmet Celik, Sonmez Sahutoglu, Emil J. Straube

Let $Ω$ be a bounded convex domain in $C^{n}$ , $n \geq 2$ , $1 \leq q \leq (n - 1)$ , and $ϕ \in C (Ω ˉ)$ . If the Hankel operator $H_{ϕ}^{q - 1}$ on $(0, q - 1)$ --forms with symbol $ϕ$ …

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…

A Sufficient condition for compactness of Hankel operators

On compactness and Lp-regularity in the ∂-Neumann problem

Zero products of Toeplitz operators on Reinhardt domains

Compactness of Hankel operators with continuous symbols on convex domains

On convergence of the Berezin transforms

On compactness and $L^{p}$ -regularity in the $\partial$ -Neumann problem