The Runge approximation theorem for generalized polynomial hulls
نویسنده
چکیده
Where ||P ||K = sup{|P (z)| : z ∈ K}. It is known from the Runge approximation theorem that every function which is holomorphic in a neighborhood of compact sets K with K = K̂ can be approximated uniformly on K by analytic polynomials. Our aim here is to prove the same result in the more general situation when the rôle of K̂ is played by the generalized polynomial hull hq(K) introduced by Basener [1] and which can be defined, for each integer q ∈ {0, 1, ..., n−1}, by hq(K) = ⋂
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