Cyclic Vectors in Korenblum Type Spaces

• Autores: Abdelouahab Hanine
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 116, Nº 1, 2015, págs. 53-85
• Idioma: inglés
• DOI: 10.7146/math.scand.a-20451
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• Resumen

  • 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].