Univalent symbols of Volterra operators on growth spaces

  • Evgeny Abakumov
  • Evgueni DoubtsovEmail author


Let w and v be arbitrary radial weights on the unit disk \({\mathbb {D}}\). We characterize those univalent symbols \(g\in Hol({\mathbb {D}})\) for which the Volterra operator \(T_g\) maps boundedly the growth space \({\mathcal {A}}^w({\mathbb {D}})\) into \({\mathcal {A}}^v({\mathbb {D}})\).


Associated weights Growth spaces Univalent functions Volterra operators 

Mathematics Subject Classification

30H99 47B38 


Compliance with ethical standards

Conflict of interest

No potential conflict of interest was reported by the authors.


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Authors and Affiliations

  1. 1.LAMA (UMR 8050)Université Paris-EstMarne-la-ValléeFrance
  2. 2.St. Petersburg Department of V.A. Steklov Institute of MathematicsSt. PetersburgRussia

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