Core sets in K?hler manifolds

被引：1

作者：

Gogus, Nihat Gokhan ^{[1
]}

Gunyuz, Ozan ^{[1
]}

Yazici, Ozcan ^{[2
]}

机构：

[1] Sabanci Univ, Fac Engn & Nat Sci, Istanbul, Turkiye

[2] Middle East Tech Univ, Dept Math, TR-06800 Ankara, Turkiye

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 525卷 / 02期

关键词：

m-Subharmonic function; Pseudoconcavity; Pseudoconvexity; Core;

D O I：

10.1016/j.jmaa.2023.127175

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The primary objective of this paper is to study core sets in the setting of m-subharmonic functions on the class of (non-compact) Kahler manifolds. Core sets are investigated in different aspects by considering various classes of plurisubharmonic functions. One of the crucial concepts in studying the structure of this kind of sets is the pseudoconcavity. In a more general way, we will have the structure of core defined with respect to the m-subharmonic functions, which we call m-core in our setting, in terms of m-pseudoconcave sets. In the context of m-subharmonic functions, we define m-harmonic functions and show that, in Cn (n > 2) and more generally in any Kahler manifold of dimension at least 2, m-harmonic functions are pluriharmonic functions for m > 2. (c) 2023 Elsevier Inc. All rights reserved.

引用

页数：12