Yunus E. Zeytuncu

activity

20102026

most citedA local weighted Axler-Zheng theorem in

C^{n}

10 citations · 40 across the 26 of their papers we have counts for

collaborators

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35 papers · 1 filter

math.CV2026

Endpoint Estimates for Bergman Commutators and New Characterizations of the Bloch Space and $H^{\infty}$

Adam B. Christopherson, Zhenghui Huo, Nathan A. Wagner +1

We prove an $\LlogL $-type distributional inequality for the commutator of the Bergman projection with a conjugate Bloch symbol function on the unit ball. Such an inequality can be…

math.CV2024

Exploring a Geometric Conjecture, Some Properties of Blaschke Products, and the Geometry of Curves Formed by Them

Mehmet Celik, Mathis Duguin, Jia Guo +4

In 2021, Dan Reznik made a YouTube video demonstrating that power circles of Poncelet triangles have an invariant total area. He made a simulation based on this observation and put…

math.CV2021

CR embeddability of quotients of the Rossi sphere via spectral theory

Henry Bosch, Tyler Gonzales, Kamryn Spinelli +2

We look at the action of finite subgroups of $SU (2)$ on $S^{3}$ , viewed as a CR manifold, both with the standard CR structure as the unit sphere in $C^{2}$ and…

math.CV2021

A Tauberian Approach to an Analog of Weyl's law for the Kohn Laplacian on Compact Heisenberg Manifolds

Colin Fan, Elena Kim, Yunus E. Zeytuncu

Let $M = Γ ∖ H_{d}$ be a compact quotient of the $d$ -dimensional Heisenberg group $H_{d}$ by a lattice subgroup $Γ$ . We show that the eigenvalue counting functi…

math.CV2020

A Tauberian Approach to Weyl's Law for the Kohn Laplacian on Spheres

Henry Bosch, Tyler Gonzales, Kamryn Spinelli +2

We compute the leading coefficient in the asymptotic expansion of the eigenvalue counting function for the Kohn Laplacian on the spheres. We express the coefficient as an infinite…

math.CV2020

$L^{p}$ Regularity of Toeplitz Operators on Generalized Hartogs Triangles

Meijke Balay, Trent Neutgens, Nick Rosen +2

We obtain $L^{p}$ estimates for Toeplitz operators on the generalized Hartogs triangles $H_{γ} = {(z_{1}, z_{2}) \in C^{2} : ∣ z_{1} ∣^{γ} < ∣ z_{2} ∣ < 1}$ for two classes of positive r…

math.CV2020

A Survey of the $L^{p}$ Regularity of the Bergman Projection

Yunus E. Zeytuncu

Although the Bergman projection operator $B_{Ω}$ is defined on $L^{2} (Ω)$ , its behavior on other $L^{p} (Ω)$ spaces for $p \neq = 2$ is an active research area. We survey some of t…

math.CV2019

An Analog of the Weyl Law for the Kohn Laplacian on Spheres

Mohit Bansil, Yunus E. Zeytuncu

We present an explicit formula for the leading coefficient in the asymptotic expansion of the eigenvalue counting function of the Kohn Laplacian on the unit sphere $\mathbb{S}^{2n-…

math.CV2018

Spectra of Kohn Laplacians on Spheres

John Ahn, Mohit Bansil, Garrett Brown +2

In this note, we study the spectrum of the Kohn Laplacian on the unit spheres in $C^{n}$ and revisit Folland's classical eigenvalue computation. We also look at the growth r…

math.CV2017

Smoothing Properties of the Friedrichs Operator on $L^{p}$ spaces

Liwei Chen, Yunus E. Zeytuncu

We show that the Friedrichs operator exhibits smoothing properties in the $L^{p}$ scale. In particular we prove that on any smoothly bounded pseudoconvex domain the Friedrichs operat…

math.CV2017

Spectrum of the Kohn Laplacian on the Rossi sphere

Tawfik Abbas, Madelyne M. Brown, Ravikumar Ramasami +1

We study the spectrum of the Kohn Laplacian $□_{b}^{t}$ on the Rossi example $(S^{3}, L_{t})$ . In particular we show that $0$ is in the essential spectrum of $\squ…

math.CV2017★ 2 cited

$L^{p}$ Mapping Properties for the Cauchy-Riemann Equations on Lipschitz Domains Admitting Subelliptic Estimates

Phillip S. Harrington, Yunus E. Zeytuncu

We show that on bounded Lipschitz pseudoconvex domains that admit good weight functions the $\partial$ -Neumann operators $N_{q}, \partial^{*} N_{q}$ , and $\overli…

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

Obstructions for Compactness of Hankel Operators: Compactness Multipliers

Mehmet Çelik, Yunus E. Zeytuncu

We establish a connection between compactness of Hankel operators and geometry of the underlying domain through compactness multipliers for the $\partial$ -Neumann operat…

math.CV2016★ 7 cited

Weighted Bergman Projections on the Hartogs Triangle: Exponential Decay

Liwei Chen, Yunus E. Zeytuncu

We study weighted Bergman projections on the Hartogs triangle in $C^{2}$ . We show that projections corresponding to exponentially vanishing weights have degenerate $L^{p}$ map…

math.CV2016

A note on smoothing properties of the Bergman projection

Sivaguru Ravisankar, Yunus E. Zeytuncu

Recently Herbig, McNeal, and Straube have showed that the Bergman projection of conjugate holomorphic functions is smooth up to the boundary on a class of pseudoconvex domains. We…

math.CV2016

Analysis on the Intersection of Pseudoconvex Domains

Mehmet Celik, Yunus E. Zeytuncu

In this note, we discuss the preservation of certain analytic properties of the $\partial$ -Neumann operator, Bergman projection and Hankel operators on the intersection…

math.CV2016

An Application of the Prékopa-Leindler Inequality and Sobolev Regularity of Weighted Bergman Projections

Yunus E. Zeytuncu

We prove a general version of \cite[Theorem 4.1]{Boas84} to obtain Sobolev estimates for weighted Bergman projections on convex Reinhardt domains by using the Prékopa-Leindler ineq…

math.CV2015★ 3 cited

Hilbert-Schmidt Hankel operators with anti-holomorphic symbols on complete pseudoconvex Reinhardt domains

Mehmet Celik, Yunus E. Zeytuncu

On complete pseudoconvex Reinhardt domains in $C^{2}$ , we show that there is no nonzero Hankel operator with an anti-holomorphic symbol that is Hilbert-Schmidt. We also pres…

math.CV2015

Mapping Properties of Weighted Bergman Projection Operators on Reinhardt Domains

Zeljko Cuckovic, Yunus E. Zeytuncu

We show that on smooth complete Reinhardt domains, weighted Bergman projection operators corresponding to exponentially decaying weights are unbounded on $L^{p}$ spaces for all $p\no…

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

$L^{p}$ Regularity of Weighted Szegö Projections on the Unit Disc

Samangi Munasinghe, Yunus E. Zeytuncu

We present a family of weights on the unit disc for which the corresponding weighted Szegö projection operators are irregular on $L^{p}$ spaces. We further investigate the dual space…

math.CV2015

Irregularity of the Szegö Projection on Bounded Pseudoconvex Domains in $C^{2}$

Samangi Munasinghe, Yunus E. Zeytuncu

We construct bounded pseudoconvex domains in $C^{2}$ for which the Szegö projection operators are unbounded on $L^{p}$ spaces of the boundary for all $p \neq = 2$ .

math.CV2014

Nilpotent Toeplitz Operators on Reinhardt Domains

Mehmet Çelik, Yunus E. Zeytuncu

We construct explicit examples of non-trivial nilpotent Toeplitz operators on Bergman spaces of certain Reinhardt domains in $C^{2}$ .

Endpoint Estimates for Bergman Commutators and New Characterizations of the Bloch Space and H∞

Exploring a Geometric Conjecture, Some Properties of Blaschke Products, and the Geometry of Curves Formed by Them

CR embeddability of quotients of the Rossi sphere via spectral theory

A Tauberian Approach to an Analog of Weyl's law for the Kohn Laplacian on Compact Heisenberg Manifolds

A Tauberian Approach to Weyl's Law for the Kohn Laplacian on Spheres

Lp Regularity of Toeplitz Operators on Generalized Hartogs Triangles

A Survey of the Lp Regularity of the Bergman Projection

An Analog of the Weyl Law for the Kohn Laplacian on Spheres

Spectra of Kohn Laplacians on Spheres

Smoothing Properties of the Friedrichs Operator on Lp spaces

Spectrum of the Kohn Laplacian on the Rossi sphere

Lp Mapping Properties for the Cauchy-Riemann Equations on Lipschitz Domains Admitting Subelliptic Estimates

A local weighted Axler-Zheng theorem in Cn

Obstructions for Compactness of Hankel Operators: Compactness Multipliers

Weighted Bergman Projections on the Hartogs Triangle: Exponential Decay

A note on smoothing properties of the Bergman projection

Analysis on the Intersection of Pseudoconvex Domains

An Application of the Prékopa-Leindler Inequality and Sobolev Regularity of Weighted Bergman Projections

Hilbert-Schmidt Hankel operators with anti-holomorphic symbols on complete pseudoconvex Reinhardt domains

Mapping Properties of Weighted Bergman Projection Operators on Reinhardt Domains

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

Lp Regularity of Weighted Szegö Projections on the Unit Disc

Irregularity of the Szegö Projection on Bounded Pseudoconvex Domains in C2

Nilpotent Toeplitz Operators on Reinhardt Domains

Endpoint Estimates for Bergman Commutators and New Characterizations of the Bloch Space and $H^{\infty}$

$L^{p}$ Regularity of Toeplitz Operators on Generalized Hartogs Triangles

A Survey of the $L^{p}$ Regularity of the Bergman Projection

Smoothing Properties of the Friedrichs Operator on $L^{p}$ spaces

$L^{p}$ Mapping Properties for the Cauchy-Riemann Equations on Lipschitz Domains Admitting Subelliptic Estimates

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

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

$L^{p}$ Regularity of Weighted Szegö Projections on the Unit Disc

Irregularity of the Szegö Projection on Bounded Pseudoconvex Domains in $C^{2}$