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Beurling's ordinary value
Published online by Cambridge University Press: 17 April 2009
Abstract
Let n(w, f) be the number of w-points of f meromorphic in D = {|z| < 1}. Beurling defined the quantity and called w an ordinary value of f if
< ∞. We shall consider the intermediate quantity ṉ(w, f) in the sense that n(w, f) ≤ ṉ(w, f)
, and construct two bounded holo-morphic functions f1 and f2 of finite Dirichlet integrals in D for which
and
.
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- Copyright © Australian Mathematical Society 1983