On the Calabi-Yau problem for maximal surfaces in L^3

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In this paper we construct an example of a weakly complete maximal surface in the Lorentz-Minkowski space L^3, which is bounded by a hyperboloid. Moreover, all the singularities of our example are of lightlike type.
12 pages, 2 figures. Revised version. To appear in Differ. Geom. Appl

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