Criteria for (Sub-)Harmonicity and Continuation of (Sub-)Harmonic Functions

被引：0
|
作者：
B. N. Khabibullin
机构：
[1] Bashkir State University,
来源：
Siberian Mathematical Journal | 2003年 / 44卷
关键词：
harmonic function; subharmonic function; Jensen measure; Arens–Singer measure;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We obtain criteria for harmonicity and subharmonicity of a function in a domain in Rd, d≥2, in terms of special Arens–Singer and Jensen measures. We also establish a criterion for (sub-)harmonicity of a δ-subharmonic function in terms of the associated Riesz charge and special Arens–Singer and Jensen functions. To this end, we use the theorem of this article on continuation of (sub-)harmonic functions to polar sets.
引用
收藏
页码：713 / 728
页数：15
相关论文
共 50 条
  • [41] A MAXIMAL INEQUALITY FOR NONNEGATIVE SUB- AND SUPERMARTINGALES
    Osekowski, Adam
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2011, 14 (03): : 595 - 604
  • [42] Decomposition of Xylose in Sub- and Supercritical Water
    Paksung, Nattacha
    Matsumura, Yukihiko
    INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 2015, 54 (31) : 7604 - 7613
  • [43] (SUB-) LUXATION OF SHOULDER JOINT IN DOG
    VOORHOUT, G
    TIJDSCHRIFT VOOR DIERGENEESKUNDE, 1978, 103 (19) : 1008 - 1012
  • [44] Low temperature anodic bonding of a sub-μ
    Richard, Å
    Sundin, K
    Bäcklund, Y
    SEMICONDUCTOR WAFER BONDING: SCIENCE, TECHNOLOGY, AND APPLICATIONS V, PROCEEDINGS, 2001, 99 (35): : 429 - 437
  • [45] Sub-μA oscillator extends battery life
    Xia, YP
    ELECTRONIC DESIGN, 2001, 49 (22) : 62 - 62
  • [46] A perspective on catalysis in sub- and supercritical water
    Savage, Phillip E.
    JOURNAL OF SUPERCRITICAL FLUIDS, 2009, 47 (03): : 407 - 414
  • [47] Deactivation in Sub- and Supercritical Carbon Dioxide
    Murzin, A.A.
    Babain, V.A.
    Shadrin, A. Yu.
    Kamachev, V.A.
    Romanovskii, V.N.
    Starchenko, V.A.
    Podoinitsyn, S.V.
    Revenko, Yu. A.
    Logunov, M.V.
    Smart, N.G.
    Radiochemistry, 2002, 44 (04) : 410 - 415
  • [48] Sub-μA oscillator extends battery life
    2001, Penton Publishing Co. (49)
  • [49] Solubility of Anthracene in Sub- and Supercritical Propane
    Martinez, Fabiola
    Martin, Alicia
    Asencio, Isaac
    Rincon, Jesusa
    JOURNAL OF CHEMICAL AND ENGINEERING DATA, 2010, 55 (03): : 1232 - 1236
  • [50] Fluorescence detection in (sub-)nanoliter microarrays
    van den Doel, LR
    Vellekoop, MJ
    Sarro, PM
    Picioreanu, S
    Moerman, R
    Frank, J
    van Dedem, G
    Hjelt, KT
    van Vliet, LJ
    Young, IT
    MICRO- AND NANOFABRICATED STRUCTURES AND DEVICES FOR BIOMEDICAL ENVIRONMENTAL APPLICATIONS II, 1999, 3606 : 28 - 39
12345