Convex functions and subharmonic functions

被引：0

作者：

Riihentaus, J ^{[1
]}

机构：

[1] UNIV OULU,DEPT MATH,FIN-90570 OULU,FINLAND

来源：

POTENTIAL ANALYSIS | 1996年 / 5卷 / 03期

关键词：

convex; harmonic; subharmonic;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is a classical result that a composition of a convex, increasing function and of a subharmonic function is subharmonic. We give related results for a composition of a convex function of several variables and of several subharmonic functions, thus imporving some recent results in this area.

引用

页码：301 / 309

页数：9

共 50 条

[1] APPROXIMATELY CONVEX AND APPROXIMATELY SUBHARMONIC FUNCTIONS
GREEN, JW
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 58 (03) : 387 - 387
[2] Subharmonic Functions with Separated Variables and Their Connection with Generalized Convex Functions
Muryasov, R. R.
RUSSIAN MATHEMATICS, 2024, 68 (06) : 42 - 57
[3] Families of subharmonic functions and separately subharmonic functions
Kalantar, Mansour
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2020, 65 (05) : 886 - 895
[4] WEIGHTED DYNAMIC ESTIMATES FOR CONVEX AND SUBHARMONIC FUNCTIONS ON TIME SCALES
Baig, Hira Ashraf
Bohner, Martin
Ahmad, Naveed
Saleem, Muhammed Shoaib
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2023, 26 (02): : 499 - 510
[5] α-Subharmonic Functions
Abdullaev B.I.
Imomkulov S.A.
Sharipov R.A.
Journal of Mathematical Sciences, 2024, 278 (3) : 395 - 407
[6] ON SUBHARMONIC FUNCTIONS
KAMTHAN, PK
JOURNAL D ANALYSE MATHEMATIQUE, 1969, 22 : 49 - &
[7] Separately subharmonic functions and quasi-nearly subharmonic functions
Riihentaus, Juhani
WMSCI 2008: 12TH WORLD MULTI-CONFERENCE ON SYSTEMICS, CYBERNETICS AND INFORMATICS, VOL V, PROCEEDINGS, 2008, : 53 - 56
[8] FUNCTIONS REPRESENTABLE AS DIFFERENCES OF SUBHARMONIC FUNCTIONS
ARSOVE, MG
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1953, 75 (SEP) : 327 - 365
[9] INTEGRABILITY OF SUPERHARMONIC FUNCTIONS AND SUBHARMONIC FUNCTIONS
AIKAWA, H
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 120 (01) : 109 - 117
[10] ON SUBHARMONIC FUNCTIONS DOMINATED BY CERTAIN FUNCTIONS
YOSHIDA, H
ISRAEL JOURNAL OF MATHEMATICS, 1986, 54 (03) : 366 - 380

← 1 2 3 4 5 →