Remark on the tautness modulo an analytic hypersurface of hartogs type domains

• Date: 2020
• Main Author: Pham, Duc Thoan
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/182
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We present sufficient conditions for the tautness modulo an analytic hypersurface of Hartogs-type domains $\Omega_H(X)$ and Hartogs–Laurent-type domains $\Sigma_{u, v}(X).$ We also propose a version of Eastwood's theorem for the tautness modulo an analytic hypersurface.