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
  • [21] Computational polarized Raman microscopy on sub- surface nanostructures with sub- diffraction-limit resolution
    Li, Zheng
    Persits, Nili
    Gray, Dodd J.
    Ram, Rajeev J.
    OPTICS EXPRESS, 2021, 29 (23) : 38027 - 38043
  • [22] Sub- and supergradients of envelopes, semicontinuous closures, and limits of sequences of functions
    Ledyaev, Yu. S.
    Treiman, J. S.
    RUSSIAN MATHEMATICAL SURVEYS, 2012, 67 (02) : 345 - 373
  • [23] Admissible changes of variables for Sobolev functions on (sub-) Riemannian manifolds
    Vodopyanov, S. K.
    SBORNIK MATHEMATICS, 2019, 210 (01) : 59 - 104
  • [24] Identification of Sub- and Higher Harmonic Vibrations in Vibro-Impact Systems
    Peter, Simon
    Reuss, Pascal
    Gaul, Lothar
    NONLINEAR DYNAMICS, VOL 2, 2014, : 131 - 140
  • [25] Degradation processes in sub- and supercritical water
    Hirth, T
    Schweppe, R
    Jahnke, S
    Bunte, G
    Eisenreich, N
    Krause, H
    HIGH PRESSURE CHEMICAL ENGINEERING, 1996, 12 : 163 - 168
  • [26] SITE AND NATURE OF CHOLINERGIC SUB- AND SUPERSENSITIVITY
    DAWSON, MJ
    BITO, LZ
    PHARMACOLOGIST, 1969, 11 (02): : 287 - &
  • [27] A sub-μW micromachined magnetic compass
    Leïchlé, TC
    Ye, WJ
    Allen, MG
    MEMS-03: IEEE THE SIXTEENTH ANNUAL INTERNATIONAL CONFERENCE ON MICRO ELECTRO MECHANICAL SYSTEMS, 2003, : 514 - 517
  • [28] Solubility of Dibenzothiophene in Sub- and Supercritical Propane
    Martinez, Fabiola
    Martin, Alicia
    Rincon, Jesusa
    JOURNAL OF CHEMICAL AND ENGINEERING DATA, 2011, 56 (12): : 4364 - 4370
  • [29] Sub-μrad laser beam tracking
    Buske, Ivo
    Riede, Wolfgang
    TECHNOLOGIES FOR OPTICAL COUNTERMEASURES III, 2006, 6397
  • [30] SUB- AND SUPERSTRUCTURE OF AgPbBr3
    Keller, H. -L.
    Ullmann, H.
    ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES, 1996, 52 : C327 - C327
12345