Subharmonic functions on Carnot groups

被引：24

作者：

Bonfiglioli, A ^{[1
]}

Lanconelli, E ^{[1
]}

机构：

[1] Univ Bologna, Dipartmento Matemat, I-40126 Bologna, Italy

来源：

MATHEMATISCHE ANNALEN | 2003年 / 325卷 / 01期

关键词：

D O I：

10.1007/s00208-002-0371-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Many results of classical Potential Theory are extended to sub-Laplacians Delta(G) on Carnot groups G. Some characterizations Of Delta(G)-subharmonicity, representation formulas of Poisson-Jensen's kind and Nevanlinna-type theorems are proved. We also characterize the Riesz-measure related to bounded-above Delta(G)-subharmonic functions in R-N.

引用

下载

页码：97 / 122

页数：26

共 50 条

[21] Whitney-type theorems on extension of functions on Carnot groups
Vodop'yanov, S. K.
Pupyshev, I. M.
SIBERIAN MATHEMATICAL JOURNAL, 2006, 47 (04) : 601 - 620
[22] Whitney-type theorems on extension of functions on Carnot groups
S. K. Vodopyanov
I. M. Pupyshev
Doklady Mathematics, 2006, 73 : 85 - 89
[23] Whitney-type theorems on extension of functions on Carnot groups
Vodopyanov, S. K.
Pupyshev, I. M.
DOKLADY MATHEMATICS, 2006, 73 (01) : 85 - 89
[24] Properties of a frequency of Almgren type for harmonic functions in Carnot groups
Garofalo, Nicola
Rotz, Kevin
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2015, 54 (02) : 2197 - 2238
[25] Lipschitz continuity for H-convex functions in Carnot groups
Sun, MB
Yang, XP
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2006, 8 (01) : 1 - 8
[26] On the regularity of subelliptic p-harmonic functions in Carnot groups
Domokos, Andras
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (5-6) : 1744 - 1756
[27] Families of subharmonic functions and separately subharmonic functions
Kalantar, Mansour
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2020, 65 (05) : 886 - 895
[28] Sobolev-type integral representations for functions defined on Carnot groups
Plotnikova E.A.
Siberian Advances in Mathematics, 2008, 18 (4) : 275 - 287
[29] Extension of differentiable functions and quasi-conformal mappings on Carnot groups
Vodopyanov, SK
Greshnov, AV
DOKLADY AKADEMII NAUK, 1996, 348 (01) : 15 - 18
[30] Characterization by Asymptotic Mean Formulas of q−Harmonic Functions in Carnot Groups
Fausto Ferrari
Andrea Pinamonti
Potential Analysis, 2015, 42 : 203 - 227

← 1 2 3 4 5 →