10 citations · 40 across the 26 of their papers we have counts for
39 papers
Can an AI Agent Rediscover a Blaschke-Curve Invariant?
Yunus E. Zeytuncu
We study generalized Blaschke curves as a controlled environment for AI-assisted mathematical rediscovery. For one fixed degree-four Blaschke product, an agent receives numerical c…
Endpoint Estimates for Bergman Commutators and New Characterizations of the Bloch Space and
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…
Learning Fast Monomial Orders for Gröbner Basis Computations
R. Caleb Bunch, Alperen A. Ergür, Melika Golestani +3
The efficiency of Gröbner basis computation, the standard engine for solving systems of polynomial equations, depends on the choice of monomial ordering. Despite a near-continuum o…
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…
Spectral Analysis of the Kohn Laplacian on Lens Spaces
Colin Fan, Elena Kim, Ian Shors +3
We obtain an analog of Weyl's law for the Kohn Laplacian on lens spaces. We also show that two 3-dimensional lens spaces with fundamental groups of equal prime order are isospectra…
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 on , viewed as a CR manifold, both with the standard CR structure as the unit sphere in and…
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 be a compact quotient of the -dimensional Heisenberg group by a lattice subgroup . We show that the eigenvalue counting functi…
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…
Regularity of Toeplitz Operators on Generalized Hartogs Triangles
Meijke Balay, Trent Neutgens, Nick Rosen +2
We obtain estimates for Toeplitz operators on the generalized Hartogs triangles for two classes of positive r…
A Survey of the Regularity of the Bergman Projection
Yunus E. Zeytuncu
Although the Bergman projection operator is defined on , its behavior on other spaces for is an active research area. We survey some of t…
Sobolev and Schatten Estimates for the Complex Green Operator on Spheres
Elena Kim, W. Jacob Ogden, Tommie Reerink +1
The complex Green operator on CR manifolds is the inverse of the Kohn-Laplacian on the orthogonal complement of its kernel. In this note, we prove Schatte…
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-…
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 and revisit Folland's classical eigenvalue computation. We also look at the growth r…
Smoothing Properties of the Friedrichs Operator on spaces
Liwei Chen, Yunus E. Zeytuncu
We show that the Friedrichs operator exhibits smoothing properties in the scale. In particular we prove that on any smoothly bounded pseudoconvex domain the Friedrichs operat…
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 on the Rossi example . In particular we show that is in the essential spectrum of $\squ…
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 -Neumann operators , and $\overli…
A local weighted Axler-Zheng theorem in
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…
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 -Neumann operat…
Weighted Bergman Projections on the Hartogs Triangle: Exponential Decay
Liwei Chen, Yunus E. Zeytuncu
We study weighted Bergman projections on the Hartogs triangle in . We show that projections corresponding to exponentially vanishing weights have degenerate map…
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…
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 -Neumann operator, Bergman projection and Hankel operators on the intersection…
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…
Hilbert-Schmidt Hankel operators with anti-holomorphic symbols on complete pseudoconvex Reinhardt domains
Mehmet Celik, Yunus E. Zeytuncu
On complete pseudoconvex Reinhardt domains in , we show that there is no nonzero Hankel operator with an anti-holomorphic symbol that is Hilbert-Schmidt. We also pres…
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 spaces for all $p\no…