Göğüş, Nihat Gökhan and Şahutoğlu, Sönmez (2018) Schatten class Hankel and (partial derivative)over-bar-Neumann operators on pseudoconvex domains in C-n. Monatshefte für Mathematik, 187 (2). pp. 237-245. ISSN 0026-9255 (Print) 1436-5081 (Online)
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Official URL: http://dx.doi.org/10.1007/s00605-017-1099-x
Abstract
Let similar to be a C-2-smooth bounded pseudoconvex domain in Cn for n = 2 and let. be a holomorphic function on similar to that is C-2-smooth on the closure of similar to. We prove that if H. is in Schatten p-class for p = 2n then. is a constant function. As a corollary, we show that the.-Neumann operator on similar to is not Hilbert-Schmidt.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Hankel operators; (partial derivative)over-bar-Neumann problem; Hilbert-Schmidt; Schatten p-class; Pseudoconvex domains |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Nihat Gökhan Göğüş |
| Date Deposited: | 25 Mar 2019 10:53 |
| Last Modified: | 17 May 2023 11:52 |
| URI: | https://research.sabanciuniv.edu/id/eprint/36898 |
Available Versions of this Item
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Schatten class Hankel and $\overline{\partial}$-Neumann operators on pseudoconvex domains in $\mathbb{C}^n$. (deposited 08 Sep 2017 23:27)
- Schatten class Hankel and (partial derivative)over-bar-Neumann operators on pseudoconvex domains in C-n. (deposited 25 Mar 2019 10:53) [Currently Displayed]
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