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Complex Variables and Elliptic Equations
An International Journal
Volume 62, 2017 - Issue 5
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Original Articles

The generalized Matsaev theorem on growth of subharmonic functions admitting a lower bound in ℝn

Yan Hui ZhangDepartment of Mathematics, Beijing Technology and Business University, Beijing, China.Correspondence[email protected]
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,
Kit Ian KouFaculty of Science and Technology, Department of Mathematics, University of Macau, Macau.View further author information
,
Guan Tie DengKey Laboratory of Mathematics and Complex Systems of Ministry of Education, School of Mathematical Sciences, Beijing Normal University, Beijing, China.View further author information
&
Tao QianFaculty of Science and Technology, Department of Mathematics, University of Macau, Macau.View further author information
Pages 642-653 | Received 11 Jul 2016, Accepted 30 Aug 2016, Published online: 25 Sep 2016
 
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Abstract

We generalize Matsaev’s theorem for subharmonic functions from two to higher dimension. The proofs are nontrivial and constructive.

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Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

The work was supported by NSFC [grant number 11501015]; NSFC [grant number 10901166]; Macau Government FDCT [grant number 099/2012/A3].

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