On Riesz Decomposition for Super-Polyharmonic Functions in Rn

被引：0

作者：

Tovstolis, Alexander V. ^{[1
]}

机构：

[1] Oklahoma State Univ, Stillwater, OK 74078 USA

来源：

POTENTIAL ANALYSIS | 2015年 / 43卷 / 03期

关键词：

Riesz potential; Riesz decomposition; Super-polyharmonic function; Polyharmonic function; Integral means;

D O I：

10.1007/s11118-015-9474-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The classical Riesz Decomposition Theorem is a powerful tool describing superharmonic functions on compact subsets of . There is also the global version of this result dealing with functions superharmonic in and satisfying an additional condition. Recently, a generalization of this result for superbiharmonic functions in was obtained by (J. Anal. Math. 60, 113-133 2006). We consider its further generalization for m-superharmonic functions.

引用

页码：341 / 360

页数：20

共 12 条

[1]

[Anonymous], 1983, Oxford Mathematical Monographs

[2]

ARMITAGE DH, 2001, SPRINGER MG MATH, P1, DOI 10.1007/978-1-4471-0233-5

[3] Riesz extremal measures on the sphere for axis-supported external fields [J].