L^p｛(0,π),dm_(λ,μ)(θ)｝空间的正交展开

ORTHOGONAL EXPANSIONS ON L^P{(0, π), dm_(λ,μ)(θ)} SPACE

对于空间LP｛（0，π），dmλ，μ（θ）｝，利用极大函数控制讨论了由广义的Gegenbauer多项式定义的Poisson函数的收敛问题，并且得到了调和函数对Poisson积分的刻画．

To the space of Lebesgue P- integrable functions with the measure dmλ,μ(θ), the analogue of Fatou's theorem for its Poisson integral and the characterization of Poisson integral defined by generalized Gegenbauer polynomials are given by using the control of maximum function.