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Cyclic Vectors in Korenblum Type Spaces

Abdelouahab Hanine

Abstract


In this paper we use the technique of premeasures, introduced by Korenblum in the 1970's, to give a characterization of cyclic functions in the Korenblum type spaces $\mathscr{A}_{\Lambda}^{-\infty}$. In particular, we give a positive answer to a conjecture by Deninger [7, Conjecture 42].

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DOI: http://dx.doi.org/10.7146/math.scand.a-20451

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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