Sönmez Şahutoğlu

activity

20042025

most citedCompactness of Hankel operators and analytic discs in the boundary of pseudoconvex domains

22 citations · 62 across the 8 of their papers we have counts for

collaborators

8 papers

math.CV2025

Fixed points of the Berezin transform on Fock-type spaces

Ghazaleh Asghari, Zeljko Cuckovic, Sonmez Sahutoglu

We study the fixed points of the Berezin transform on the Fock-type spaces $F_{m}^{2}$ with the weight $e^{- ∣ z ∣^{m}}, m > 0.$ It is known that the Berezin transform is well-defined on th…

math.CV2023★ 4 cited

Compactness of Toeplitz operators with continuous symbols on pseudoconvex domains in $C^{n}$

Tomas Miguel Rodriguez, Sonmez Sahutoglu

Let $Ω$ be a bounded pseudoconvex domain in $C^{n}$ with Lipschitz boundary and $ϕ$ be a continuous function on $Ω$ . We show that the Toeplitz operator $T_{ϕ}$ with s…

math.CV2012★ 11 cited

Compactness of the dbar-Neumann operator and commutators of the Bergman projection with continuous functions

Mehmet Celik, Sonmez Sahutoglu

Let D be a bounded pseudoconvex domain in $C^{n}, n \geq 2, 0 \leq p \leq n,$ and $1 \leq q \leq n - 1.$ We show that compactness of the dbar-Neumann operator, $N_{p, q + 1},$ on square integr…

math.CV2011★ 5 cited

Localization of compactness of Hankel operators on pseudoconvex domains

Sonmez Sahutoglu

We prove the following localization for compactness of Hankel operators on Bergman spaces. Assume that D is a bounded pseudoconvex domain in C^n, p is a boundary point of D and B(p…

math.FA2010★ 4 cited

Compactness of products of Hankel operators on the polydisk and some product domains in $C^{2}$

Zeljko Cuckovic, Sonmez Sahutoglu

Let $D^{n}$ be the polydisk in $C^{n}$ and the symbols $ϕ, ψ \in C (D^{n} ˉ)$ such that $ϕ$ and $ψ$ are pluriharmonic on any $(n - 1)$ -dimensional polydisk in t…

math.CV2008★ 22 cited

Compactness of Hankel operators and analytic discs in the boundary of pseudoconvex domains

Zeljko Cuckovic, Sonmez Sahutoglu

Using several complex variables techniques, we investigate the interplay between the geometry of the boundary and compactness of Hankel operators. Let f be a function smooth up to…

math.CV2006

A remark on irregularity of the dbar-Neumann problem on non-smooth domains

Sonmez Sahutoglu

It is an observation due to J.J. Kohn that for a smooth bounded pseudoconvex domain D in $C^{n}$ there exists s>0 such that the dbar-Neumann operator on D maps $W_{(0, 1)}^{s} (D)$ (the…

math.CV2004★ 16 cited

Analytic discs, plurisubharmonic hulls, and non-compactness of the d-bar-Neumann operator

Sonmez Sahutoglu, Emil J. Straube

We show that a complex manifold M in the boundary of a smooth bounded pseudoconvex domain in C^n is an obstruction to compactness of the d-bar-Neumann operator on the domain, provi…