On a characterization of m-subharmonic functions with weak singularities

被引:3
作者
Ahag, Per [1 ]
Czyz, Rafal [2 ]
机构
[1] Umea Univ, Dept Math & Math Stat, SE-90187 Umea, Sweden
[2] Jagiellonian Univ, Fac Math & Comp Sci, Inst Math, Lojasiewicza 6, PL-30348 Krakow, Poland
关键词
complex Hessian operator; m-subharmonic functions; Cegrell classes; ENERGY;
D O I
10.4064/ap180628-10-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We provide a characterization of functions in Cegrell's energy class E-p,E-m.
引用
收藏
页码:21 / 29
页数:9
相关论文
共 36 条
  • [1] 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
  • [2] Concerning the energy class εp for 0 < p < 1
    Ahag, Per
    Czyz, Rafal
    Hiep, Pham Hoang
    [J]. ANNALES POLONICI MATHEMATICI, 2007, 91 (2-3) : 119 - 130
  • [3] The Geometry of m-Hyperconvex Domains
    Ahag, Per
    Czyz, Rafal
    Hed, Lisa
    [J]. JOURNAL OF GEOMETRIC ANALYSIS, 2018, 28 (04) : 3196 - 3222
  • [4] Modulability and duality of certain cones in pluripotential theory
    Ahag, Per
    Czyz, Rafal
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 361 (02) : 302 - 321
  • [5] An Inequality for the Beta Function with Application to Pluripotential Theory
    Ahag, Per
    Czyz, Rafal
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,
  • [6] [Anonymous], 1993, Bull. Polish Acad. Sci. Math
  • [7] [Anonymous], 2005, MEM AM MATH SOC
  • [9] Fekete points and convergence towards equilibrium measures on complex manifolds
    Berman, Robert
    Boucksom, Sebastien
    Nystrom, David Witt
    [J]. ACTA MATHEMATICA, 2011, 207 (01) : 1 - 27
  • [10] Symmetrization of Plurisubharmonic and Convex Functions
    Berman, Robert J.
    Berndtsson, Bo
    [J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2014, 63 (02) : 345 - 365