摘要
The following result is established:let X be a Banach space without the Radon-Nikodym property,there exists a uniformly bounded harmonic function f defined onthe open unit disk of C with values in X,such that for almost allθ∈[0,2π],(?)f(re<sup>iθ</sup>)does not exist.
The following result is established: let X be a Banach space without the Radon-Nikodym property, there exists a uniformly bounded harmonic function f defined on the open unit disk of C with values in X, such that for almost all theta is-an-element-of [0, 2-pi], lim(r --> 1) f(re(i-theta)) does not exist.