INTEGRAL MEANS OF THE POISSON INTEGRAL OF A DISCRETE MEASURE

[摘要] It is proved that a function u, harmonic in the unit disc, can be represented in the form u(z)=Sigma lambda(j)1-\z\(2)/\1-w(j)z\(2), \z\<1, with \w(j)\=1(j=1, 2, ...), Sigma\lambda(j)\(p)1(-)). The discussion of the case p less than or equal to 1/2 involves the integral means of derivatives of u. (C) 1994 Academic Press, Inc.

[发布日期] 1994-06-01