Asymptotic Values and the Growth of Analytic Functions in Spiral Domains

نویسنده

  • A. L. VOLBERG
چکیده

ASYMPTOTIC VALUES AND THE GROWTH OF ANALYTIC FUNCTIONS IN SPIRAL DOMAINS J . E . BRENNAN AND A . L . VOLBERG In this note we present a simple proof of a theorem of Hornblower which characterizes those functions analytic in the open unit disk having asymptotic values at a dense set in the boundary. Our method is based on a kind of ó-mollification and may be of use in other problems as well .

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تاریخ انتشار 2006