Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2018; 55(5): 1483-1490

Online first article September 11, 2018      Printed September 30, 2018

https://doi.org/10.4134/BKMS.b170837

Copyright © The Korean Mathematical Society.

On the Lu Qi-Keng problem for slice monogenic functions

Zhenghua Xu

HeFei University of Technology

Abstract

In this note, it is proven that the slice Bergman kernels for some axially symmetric slice domains are zero-free by a simple method.

Keywords: Clifford algebra, Bergman kernel, Lu Qi-Keng problem

MSC numbers: 30G35, 32A25