Dirichlet Forms Associated with Linear Diffusions

被引：13

作者：

Fang, Xing ^{[1
]}

He, Ping ^{[2
]}

Ying, Jiangang ^{[3
]}

机构：

[1] Zhejiang Univ Technol, Dept Math, Hangzhou 310014, Zhejiang, Peoples R China

[2] Shanghai Univ Finance & Econ, Dept Math, Shanghai 200433, Peoples R China

[3] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2010年 / 31卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Symmetrizing measure; Linear diffusion; Dirichlet space; Regular subspace; SUBSPACES;

D O I：

10.1007/s11401-010-0589-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

One-dimensional local Dirichlet spaces associated with linear diffusions are studied. The first result is to give a representation for any 1-dim local, irreducible and regular Dirichlet space. The second result is a necessary and sufficient condition for a Dirichlet space to be regular subspace of another Dirichlet space.

引用

页码：507 / 518

页数：12

共 50 条

[21] SCATTERING PROBLEM FOR OPERATORS ASSOCIATED WITH DIRICHLET FORMS
KONDRATIEV, IG
KOSHMANENKO, VD
DOKLADY AKADEMII NAUK SSSR, 1982, 267 (02): : 285 - 288
[22] ZERO WHITE-NOISE LIMIT THROUGH DIRICHLET FORMS, WITH APPLICATION TO DIFFUSIONS IN A RANDOM MEDIUM
MATHIEU, P
PROBABILITY THEORY AND RELATED FIELDS, 1994, 99 (04) : 549 - 580
[23] Nonlinear Dirichlet Forms Associated with Quasiregular MappingsNonlinear Dirichlet Forms Associated with Quasiregular MappingsC. Beznea et al.
Camelia Beznea
Lucian Beznea
Michael Röckner
Potential Analysis, 2025, 62 (3) : 509 - 533
[24] Strict Decomposition of Diffusions Associated to Degenerate (Sub)-Elliptic Forms
Shin, Jiyong
MARKOV PROCESSES AND RELATED FIELDS, 2018, 24 (04) : 695 - 714
[25] ON THE ZEROS OF DIRICHLET SERIES ASSOCIATED WITH CERTAIN CUSP FORMS
HAFNER, JL
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 8 (02) : 340 - 342
[26] GENERALIZED DIRICHLET FORMS AND ASSOCIATED MARKOV-PROCESSES
STANNAT, W
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1994, 319 (10): : 1063 - 1068
[27] Stopping Time Convergence for Processes Associated with Dirichlet Forms
Baxter, J. R.
Hernandez, M. Nielsen
POTENTIAL ANALYSIS, 2019, 50 (02) : 245 - 277
[28] THE SQUARE MEAN OF DIRICHLET SERIES ASSOCIATED WITH CUSP FORMS
GOOD, A
MATHEMATIKA, 1982, 29 (58) : 278 - 295
[29] On integral kernels for Dirichlet series associated to Jacobi forms
Martin, Yves
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2014, 90 : 67 - 88
[30] On a multiple Dirichlet series associated to binary cubic forms
Lee, Eun Hye
Takloo-Bighash, Ramin
JOURNAL OF NUMBER THEORY, 2022, 238 : 535 - 556

← 1 2 3 4 5 →