Abstract
Suppose that D ⊂ ℂn is a domain with smooth boundary ∂D, E ⊂ ∂D is a boundary subset of positive Lebesgue measure mes(E) > 0, and F ⊂ G is a nonpluripolar compact set in a strongly pseudoconvex domain G ⊂ ℂm. We prove that, under some additional conditions, each function separately analytic on the set X = (D×F)∪(E× G) can be holomorphically continued into the domain Open image in new window where ω* is the P-measure and ω in * is the inner P-measure.
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