NON-SYMMETRIC RESISTANCE FORMS

被引:0
|
作者
Boboc, Nicu [1 ]
Bucur, Gheorghe [1 ]
机构
[1] Univ Bucharest, Fac Math & Comp Sci, RO-010014 Bucharest, Romania
关键词
Resistance form; excessive function; fine topology;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We introduce the notion of (non-symetric) resistance form on a set and we develop a potential theory associated with this form. The notion of symmetric resitance form was introduced by I. Kigami in connection with the so called "analysis of fractals". This paper contains some preliminaries concerning the (non-symmetric) resistance forms, the excessive and co-excessive functions with respect to such forms and particularly the associated Green function: other aspects, as sub Markovian resolvents in duality associated with such a (non-symmetric) resistance form, will be treated later.
引用
收藏
页码:65 / 84
页数:20
相关论文
共 50 条
  • [1] Convergence of non-symmetric forms
    Hino, M
    [J]. JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1998, 38 (02): : 329 - 341
  • [2] Non-symmetric perturbations of symmetric Dirichlet forms
    Fitzsimmons, PJ
    Kuwae, K
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2004, 208 (01) : 140 - 162
  • [3] On Representations of Non-Symmetric Dirichlet Forms
    Ze-Chun Hu
    Zhi-Ming Ma
    Wei Sun
    [J]. Potential Analysis, 2010, 32 : 101 - 131
  • [4] On Representations of Non-Symmetric Dirichlet Forms
    Hu, Ze-Chun
    Ma, Zhi-Ming
    Sun, Wei
    [J]. POTENTIAL ANALYSIS, 2010, 32 (02) : 101 - 131
  • [5] CONJOINED TWINS - SYMMETRIC AND NON-SYMMETRIC (PARASITIC) FORMS
    WERNER, JP
    BOHM, N
    HELWIG, H
    SCHROTER, W
    [J]. KLINISCHE PADIATRIE, 1978, 190 (04): : 365 - 371
  • [6] Representation Formulas for Non-Symmetric Dirichlet Forms
    Mataloni, S.
    [J]. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 1999, 18 (04): : 1039 - 1064
  • [7] NON-SYMMETRIC TRANSLATION INVARIANT DIRICHLET FORMS
    BERG, C
    FORST, G
    [J]. INVENTIONES MATHEMATICAE, 1973, 21 (03) : 199 - 212
  • [8] A CLASS OF NON-SYMMETRIC FORMS ON THE CANONICAL SIMPLEX OF Rd
    Albanese, Angela A.
    Mangino, Elisabetta M.
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2009, 23 (03) : 639 - 654
  • [9] Convexification of bilinear forms through non-symmetric lifting
    Fampa, Marcia
    Lee, Jon
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2021, 80 (02) : 287 - 305
  • [10] Convexification of bilinear forms through non-symmetric lifting
    Marcia Fampa
    Jon Lee
    [J]. Journal of Global Optimization, 2021, 80 : 287 - 305