On delta m-subharmonic functions

被引：13

作者：

Van Thien Nguyen ^{[1
]}

机构：

[1] Jagiellonian Univ, Inst Math, Lojasiewicza 6, PL-30348 Krakow, Poland

来源：

Annales Polonici Mathematici | 2016年 / 118卷 / 01期

关键词：

cone; delta m-subharmonic function; ordered vector space; quasi-Banach space; topological dual; MONGE-AMPERE OPERATOR; PLURISUBHARMONIC-FUNCTIONS; EQUATION; ENERGY;

D O I：

10.4064/ap3959-9-2916

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p > 0, and let epsilon(p,m) be the cone of negative m-subharmonic functions with finite m-pluricomplex p-energy. We will define a quasi-norm on the vector space delta epsilon(p,m) = epsilon(p,m) - epsilon(p,m) and prove that this vector space with this quasi-norm is a quasi-Banach space. Furthermore, we characterize its topological dual.

引用

页码：25 / 49

页数：25

共 50 条

[41] Complex Hessian-Type Equations in the Weighted m-Subharmonic Class
Mohamed Zaway
Jawhar Hbil
[J]. Ukrainian Mathematical Journal, 2023, 75 : 921 - 935
[42] Complex Hessian-Type Equations in the Weighted m-Subharmonic Class
Zaway, Mohamed
Hbil, Jawhar
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2023, 75 (06) : 921 - 935
[43] Boundary limits and non-integrability of M-subharmonic functions in the unit ball of C-n (n>=1)
Stoll, M
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 349 (09) : 3773 - 3785
[44] ON BOUNDARY BEHAVIOR OF delta - SUBHARMONIC FUNCTIONS
Berberyan, S.
[J]. MATHEMATICA MONTISNIGRI, 2014, 29 : 5 - 10
[45] ASYMPTOTIC GROWTH OF DELTA-SUBHARMONIC FUNCTIONS OF NULL ORDER
SHAKHVERDYAN, AY
[J]. SIBERIAN MATHEMATICAL JOURNAL, 1987, 28 (02) : 343 - 351
[46] Families of subharmonic functions and separately subharmonic functions
Kalantar, Mansour
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2020, 65 (05) : 886 - 895
[47] On Some Subclasses of Delta-Subharmonic Functions of Bounded Type in the Disc
Restrepo, J. E.
[J]. JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2018, 53 (06): : 346 - 354
[48] On Some Subclasses of Delta-Subharmonic Functions of Bounded Type in the Disc
J. E. Restrepo
[J]. Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2018, 53 : 346 - 354
[49] THE FINE BOUNDARY-BEHAVIOR OF CERTAIN DELTA-SUBHARMONIC FUNCTIONS
RIPPON, PJ
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1982, 26 (DEC): : 487 - 503
[50] α-Subharmonic Functions
Abdullaev B.I.
Imomkulov S.A.
Sharipov R.A.
[J]. Journal of Mathematical Sciences, 2024, 278 (3) : 395 - 407

← 1 2 3 4 5 →