1988
DOI: 10.5565/publmat_32188_13
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On quotients of holomorphic functions in the disc with boundary regularity conditions

Abstract: Abstract. TOAQUIN M . ORTEGA In this paper we give characterizations of those holomorphic functions in the unit disc in the complex plane that can be written as a quotient of functions in A(D), A°°(D) or Al (D) with a nonvanishing denominator in D . As a consequence we prove that if f E Al (D) does not vanish in D, then there exists g E Al (D) which has the same zero set as f in D and such that fg E A(D) .

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