Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4610398 | Journal of Differential Equations | 2014 | 12 Pages |
Abstract
Using Carleman's formula of a harmonic function in the half space and Nevanlinna's representation of a harmonic function in the half sphere, we prove that a harmonic function, whose positive part satisfies a slowly growing condition, can be represented by a certain integral. This improves some classical Poisson integrals for harmonic functions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yan Hui Zhang, Kit Ian Kou, Guan Tie Deng,