Sonmez Sahutoglu

activity

20072025

most citedIrregularity of the Bergman projection on worm domains in C^n

46 citations · 142 across the 29 of their papers we have counts for

collaborators

29 papers

math.CV2025

Compactness of Hankel and Toeplitz operators on convex Reinhardt domains in $C^{2}$

Nazli Dogan, Sonmez Sahutoglu

We study compactness of Hankel and Toeplitz operators on Bergman spaces of convex Reinhardt domains in $C^{2}$ and we restrict the symbols to the class of functions that are…

math.CV2024★ 1 cited

Compactness of composition operators on the Bergman space of the bidisc

Timothy G. Clos, Zeljko Cuckovic, Sonmez Sahutoglu

Let $φ$ be a holomorphic self map of the bidisc that is Lipschitz on the closure. We show that the composition operator $C_{φ}$ is compact on the Bergman space if and only if $φ(\ove…

math.FA2024

On compactness of products of Toeplitz operators

Trieu Le, Tomas Miguel Rodriguez, Sonmez Sahutoglu

We study compactness of product of Toeplitz operators with symbols continuous on the closure of the polydisc in terms of behavior of the symbols on the boundary. For certain classe…

math.FA2022

On spectra of Hankel operators on the polydisc

Zeljko Cuckovic, Zhenghui Huo, Sonmez Sahutoglu

We give sufficient conditions for the essential spectrum of the Hermitian square of a class of Hankel operators on the Bergman space of the polydisc to contain intervals. We also c…

math.CV2021★ 7 cited

A sufficient condition for $L^{p}$ regularity of the Berezin transform

Nihat Gokhan Gogus, Sonmez Sahutoglu

We prove that the Berezin transform is $L^{p}$ regular on a large class of domains in $C^{n}$ and not $L^{2}$ regular on the Hartogs triangle.

math.CV2020★ 2 cited

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★ 1 cited

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★ 5 cited

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…

math.CV2019★ 6 cited

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★ 4 cited

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★ 3 cited

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…

math.CV2017★ 2 cited

The restriction operator on Bergman spaces

Debraj Chakrabarti, Sonmez Sahutoglu

We study the restriction operator from the Bergman space of a domain in $C^{n}$ to the Bergman space of a non-empty open subset of the domain. We relate the restriction oper…

math.CV2017★ 3 cited

Schatten class Hankel and $\partial$ -Neumann operators on pseudoconvex domains in $C^{n}$

Nihat Gokhan Gogus, Sonmez Sahutoglu

Let $Ω$ be a $C^{2}$ -smooth bounded pseudoconvex domain in $C^{n}$ for $n \geq 2$ and let $φ$ be a holomorphic function on $Ω$ that is $C^{2}$ -smooth on the closure of $Ω$ . We pr…

math.CV2017★ 10 cited

A local weighted Axler-Zheng theorem in $C^{n}$

Zeljko Cuckovic, Sonmez Sahutoglu, Yunus E. Zeytuncu

The well-known Axler-Zheng theorem characterizes compactness of finite sums of finite products of Toeplitz operators on the unit disk in terms of the Berezin transform of these ope…

math.CV2016★ 6 cited

Compactness of Hankel operators with continuous symbols

Timothy Clos, Sonmez Sahutoglu

Let $Ω$ be a bounded convex Reinhardt domain in $C^{2}$ and $ϕ \in C (Ω ˉ)$ . We show that the Hankel operator $H_{ϕ}$ is compact if and only if $ϕ$ is holomorphic along every…

math.CV2016★ 3 cited

On a theorem of Bishop and commutants of Toeplitz operators in $C^{n}$

Sonmez Sahutoglu, Akaki Tikaradze

We prove an approximation theorem on a class of domains in $C^{n}$ on which the $\partial$ -problem is solvable in $L^{\infty}$ . Furthermore, as a corollary, we ob…

math.CV2015★ 5 cited

On compactness of Hankel and the $\partial ˉ$ -Neumann operators on Hartogs domains in $C^{2}$

Sonmez Sahutoglu, Yunus E. Zeytuncu

We prove that on smooth bounded pseudoconvex Hartogs domains in $C^{2}$ compactness of the $\partial ˉ$ -Neumann operator is equivalent to compactness of all Hankel opera…

math.CV2015★ 8 cited

Essential norm estimates for the $\partial ˉ$ -Neumann operator on convex domains and worm domains

Zeljko Cuckovic, Sonmez Sahutoglu

In the paper we give a lower estimate for the essential norm of the $\partial ˉ$ -Neumann operator on convex domains and worm domains of Diederich and Fornaess.

math.CV2015★ 1 cited

Essential norm estimates for Hankel operators on convex domains in $C^{2}$

Zeljko Cuckovic, Sonmez Sahutoglu

Let $Ω \subset C^{2}$ be a bounded convex domain with $C^{1}$ -smooth boundary and $φ \in C^{1} (Ω)$ such that $φ$ is harmonic on the nontrivial disks in the boundary. We e…

math.CV2013★ 13 cited

Axler-Zheng type theorem on a class of domains in C^n

Zeljko Cuckovic, Sonmez Sahutoglu

We prove a version of Axler-Zheng's Theorem on smooth bounded pseudoconvex domains in C^n on which the dbar-Neumann operator is compact.

math.CV2012★ 2 cited

Compactness of products of Hankel operators on convex Reinhardt domains in C^2

Zeljko Cuckovic, Sonmez Sahutoglu

Let D be a piecewise smooth bounded convex Reinhardt domain in C^2. Assume that the symbols f and g are continuous on the closure of D and harmonic on the disks in the boundary of…

math.CV2011★ 2 cited

Continuity of Plurisubharmonic Envelopes in $C^{2}$

Nihat Gokhan Gogus, Sonmez Sahutoglu

We show that in $C^{2}$ if the set of strongly regular points are closed in the boundary of a smooth bounded pseudoconvex domain, then the domain is c-regular, that is, the…

Compactness of Hankel and Toeplitz operators on convex Reinhardt domains in C2

Compactness of composition operators on the Bergman space of the bidisc

On compactness of products of Toeplitz operators

On spectra of Hankel operators on the polydisc

A sufficient condition for Lp regularity of the Berezin transform

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

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

Convex domains, Hankel operators, and maximal estimates

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

The restriction operator on Bergman spaces

Schatten class Hankel and ∂-Neumann operators on pseudoconvex domains in Cn

A local weighted Axler-Zheng theorem in Cn

Compactness of Hankel operators with continuous symbols

On a theorem of Bishop and commutants of Toeplitz operators in Cn

On compactness of Hankel and the ∂ˉ-Neumann operators on Hartogs domains in C2

Essential norm estimates for the ∂ˉ-Neumann operator on convex domains and worm domains

Essential norm estimates for Hankel operators on convex domains in C2

Axler-Zheng type theorem on a class of domains in C^n

Compactness of products of Hankel operators on convex Reinhardt domains in C^2

Continuity of Plurisubharmonic Envelopes in C2

Compactness of Hankel and Toeplitz operators on convex Reinhardt domains in $C^{2}$

A sufficient condition for $L^{p}$ regularity of the Berezin transform

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

Schatten class Hankel and $\partial$ -Neumann operators on pseudoconvex domains in $C^{n}$

A local weighted Axler-Zheng theorem in $C^{n}$

On a theorem of Bishop and commutants of Toeplitz operators in $C^{n}$

On compactness of Hankel and the $\partial ˉ$ -Neumann operators on Hartogs domains in $C^{2}$

Essential norm estimates for the $\partial ˉ$ -Neumann operator on convex domains and worm domains

Essential norm estimates for Hankel operators on convex domains in $C^{2}$

Continuity of Plurisubharmonic Envelopes in $C^{2}$