【摘要】 对于半平面中的调和函数,在本文中证明了如果它的正部满足某些限制增长条件,则它可以用半平面边界上的积分表示出来并且它的绝对值也满足类似的增长条件,这一结果改进了在半平面中调和函数的某些经典结果.更多还原

【Abstract】 In this paper, we prove that a harmonic function in a half plane with its positive part satisfying some restricted growth condition can be represented by its integral in the boundary of the half plane and dominated by a similar restricted growth condition, this improves some classical results about harmonic functions in a half-plane.更多还原