11 citations · 34 across the 10 of their papers we have counts for
11 papers
A Sufficient condition for compactness of Hankel operators
Mehmet Celik, Sonmez Sahutoglu, Emil J. Straube
Let be a bounded convex domain in . We show that if is holomorphic along analytic varieties in , then , the Hankel operato…
Compactness of Hankel operators with continuous symbols on convex domains
Mehmet Celik, Sonmez Sahutoglu, Emil J. Straube
Let be a bounded convex domain in , , , and . If the Hankel operator on --forms with symbol …
Convex domains, Hankel operators, and maximal estimates
Mehmet Celik, Sonmez Sahutoglu, Emil J. Straube
Let . We first show that a necessary condition for a Hankel operator on -forms on a convex domain to be compact is that its symbol is holomorphic along…
Compactness of Hankel operators with symbols continuous on the closure of pseudoconvex domains
Timothy G. Clos, Mehmet Celik, Sonmez Sahutoglu
Let be a bounded pseudoconvex domain in with Lipschitz boundary or a bounded convex domain in and such that is compact…
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…
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…
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…
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 .
Hilbert-Schmidt Hankel Operators with Anti-holomorphic Symbols on Complex Ellipsoids
Mehmet Çelik, Yunus E. Zeytuncu
On a complex ellipsoid in , we show that there is no nonzero Hankel operator with an anti-holomorphic symbol that is Hilbert-Schmidt.
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 and We show that compactness of the dbar-Neumann operator, on square integr…
On compactness of the dbar-Neumann problem and Hankel operators
Mehmet Celik, Sonmez Sahutoglu
Let $\D=\D_1\setminus \Dc_2$, where $\D_1$ and $\D_2$ are two smooth bounded pseudoconvex domains in $\C^n, n\geq 3,$ such that $\Dc_2\subset \D_1.$ Assume that the $\dbar$-Neumann…