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Envelope of holomorphy for boundary cross sets
Let D\subset \C^n, G\subset \C^m be open sets, let
(resp. ) be a subset of the boundary (resp.
) and let be the 2-fold boundary cross
An open subset X\subset\C^{n+m} is said to be the ``envelope of
holomorphy" of if it is, in some sense, the maximal open set with the
following property: Any function locally bounded on and separately
holomorphic on "extends" to a holomorphic
function defined on which admits the boundary values a.e. on In
this work we will determine the envelope of holomorphy of some boundary
crosses.Comment: Arch. Math. (Basel), to appear, 12 page
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