Weighted Energy Classes of Plurifinely Plurisubharmonic Functions

被引：0

作者：

Le Mau Hai ^{[1
]}

Vu Van Quan ^{[2
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, Hanoi, Vietnam

[2] Hanoi Architectural Univ, Hanoi, Vietnam

来源：

RESULTS IN MATHEMATICS | 2019年 / 74卷 / 04期

关键词：

Weighted energy classes; plurifinely plurisubharmonic functions; bounded F-hyperconvex domain; approximation of plurifinely plurisubharmonic functions; weak solutions of the equation of complex Monge-Ampere type; APPROXIMATION; BOUNDARY; EQUATION;

D O I：

10.1007/s00025-019-1094-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper we introduce weighted energy classes E-X(Omega) of plurifinely plurisubharmonic functions on a bounded F-hyperconvex domain Omega in C-n and prove the existence of weak solutions of the equation of complex Monge-Ampere type in this class.

引用

页数：13

共 50 条

[31] A Note on the Weighted Log Canonical Threshold of Toric Plurisubharmonic Functions
Quy, Hoang Nhat
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2023, 75 (2) : 328 - 334
[32] Some finite weighted energy classes of m-subharmonic functions
Vu Viet Hung
Hoang Nhat Quy
[J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2021, 32 (14)
[33] Weighted Hardy classes of analytic functions
Soldatov, AP
[J]. DIFFERENTIAL EQUATIONS, 2002, 38 (06) : 855 - 864
[34] Weighted Hardy Classes of Analytic Functions
A. P. Soldatov
[J]. Differential Equations, 2002, 38 : 855 - 864
[35] Partial pluricomplex energy and integrability exponents of plurisubharmonic functions
Ahag, P.
Cegrell, U.
Kolodziej, S.
Pham, H. H.
Zeriahi, A.
[J]. ADVANCES IN MATHEMATICS, 2009, 222 (06) : 2036 - 2058
[36] Order functions of plurisubharmonic functions
Celik, HI
Poletsky, EA
[J]. STUDIA MATHEMATICA, 1997, 124 (02) : 161 - 171
[37] Plurisubharmonic approximation and boundary values of plurisubharmonic functions
Hed, Lisa
Persson, Hakan
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 413 (02) : 700 - 714
[38] SUPPORT FUNCTIONS OF PLURISUBHARMONIC FUNCTIONS
GARDING, L
[J]. JOURNAL OF MATHEMATICS AND MECHANICS, 1967, 17 (03): : 225 - &
[39] Approximation of plurisubharmonic functions
Avelin, Benny
Hed, Lisa
Persson, Hakan
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2016, 61 (01) : 23 - 28
[40] Characterizations of plurisubharmonic functions
Deng, Fusheng
Ning, Jiafu
Wang, Zhiwei
[J]. SCIENCE CHINA-MATHEMATICS, 2021, 64 (09) : 1959 - 1970

← 1 2 3 4 5 →