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Holomorphic functions of fast growth on submanifolds of the domain

Piotr Jakóbczak (1998)

Annales Polonici Mathematici

We construct a function f holomorphic in a balanced domain D in N such that for every positive-dimensional subspace Π of N , and for every p with 1 ≤ p < ∞, f | Π D is not L p -integrable on Π ∩ D.

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