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| existence of radial limits of harmonic functions in banach spaces |
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Citation： |
Bu Shangquan（步尚全）.existence of radial limits of harmonic functions in banach spaces[J].Chinese Annals of Mathematics B,1992,13(1):110~118 |
| Page view： 1056
Net amount： 794 |
Authors： |
Bu Shangquan（步尚全）; |
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| Abstract： |
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 $\theta \in[0,2\pi]$, $lim f(re^{i\theta}),r\rightarrow t$ does not exist. |
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