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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

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math.CV2010

A potential theoretic characterization of compactness of the dbar-Neumann problem

Sonmez Sahutoglu

We give a potential theoretic characterization for compactness of the dbar-Neumann problem on smooth bounded pseudoconvex domains in C^n.

math.CV2010★ 5 cited

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…

math.CV2010★ 46 cited

Irregularity of the Bergman projection on worm domains in C^n

David Barrett, Sonmez Sahutoglu

We construct higher-dimensional versions of the Diederich-Fornaess worm domains and show that the Bergman projection operators for these domains are not bounded on high-order …