On Removable Singularities of Harmonic Functions on a Stratified Set

被引:0
|
作者
Dairbekov, N. S. [1 ,2 ]
Penkin, O. M. [1 ,3 ]
Savasteev, D. V. [3 ]
机构
[1] Inst Math & Math Modeling, Alma Ata, Kazakhstan
[2] SDU Univ, Kaskelen, Kazakhstan
[3] Voronezh State Univ, Voronezh, Russia
关键词
stratified measure; soft Laplacian; mean value; Harnack inequality; EQUATIONS;
D O I
10.1134/S1064562424601379
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider sets removable for bounded harmonic functions on a stratified set with flat interior strata. It is proved that relatively closed sets of finite Hausdorff \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(n - 2)$$\end{document}-measure are removable for bounded harmonic functions on an n-dimensional stratified set satisfying the strong sturdiness condition.
引用
收藏
页码:297 / 300
页数:4
相关论文
共 50 条
  • [42] Jump problem and removable singularities for monogenic functions
    Abreu-Blaya, Ricardo
    Bory-Reyes, Juan
    Pena-Pena, Dixan
    JOURNAL OF GEOMETRIC ANALYSIS, 2007, 17 (01) : 1 - 13
  • [43] Removable singularities of plurisubharmonic functions of restricted growth
    N. G. Karpova
    Mathematical Notes, 1998, 64 : 55 - 62
  • [44] Orientation at singularities of harmonic functions
    Arango, Juan
    Arbelaez, Hugo
    Rivera, Jheison
    MONATSHEFTE FUR MATHEMATIK, 2020, 193 (04): : 737 - 762
  • [45] Orientation at singularities of harmonic functions
    Juan Arango
    Hugo Arbeláez
    Jheison Rivera
    Monatshefte für Mathematik, 2020, 193 : 737 - 762
  • [46] Removable Sets for A-Harmonic Functions
    Challal, Samia
    Lyaghfouri, Abdeslem
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2011, 30 (04): : 421 - 433
  • [47] REMOVABLE SETS FOR HARMONIC-FUNCTIONS
    ULLRICH, DC
    MICHIGAN MATHEMATICAL JOURNAL, 1991, 38 (03) : 467 - 473
  • [48] Isolated singularities of harmonic functions
    Karp, L
    Shapiro, HS
    MODERN DEVELOPMENTS IN MULTIVARIATE APPROXIMATION, 2003, 145 : 167 - 174
  • [49] Isolated singularities of harmonic functions and analytic functions
    Chung, SY
    Kim, D
    Kim, SM
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2001, 11 (03) : 257 - 272
  • [50] Removable singularities for p-harmonic maps:: the subquadratic case
    Gastel, A
    Grotowski, JF
    Kronz, M
    ADVANCES IN GEOMETRY, 2005, 5 (03) : 469 - 483