Generalized Volterra operators mapping between Banach spaces of analytic functions

Ted Eklund, Mikael Lindström, Maryam Pirasteh, Amir Sanatpour, Niklas Wikman

Forskningsoutput: TidskriftsbidragArtikelVetenskapligPeer review

4 Citeringar (Scopus)

Sammanfattning

We characterize boundedness and compactness of the classical Volterra operator Tg:Hvα∞→H∞" role="presentation">Tg:H∞vα→H∞ induced by a univalent function g for standard weights vα" role="presentation">vα with 0≤α<1" role="presentation">0≤α<1, partly answering an open problem posed by A. Anderson, M. Jovovic and W. Smith. We also study boundedness, compactness and weak compactness of the generalized Volterra operator Tgφ" role="presentation">Tφg mapping between Banach spaces of analytic functions on the unit disc satisfying certain general conditions.

OriginalspråkEngelska
Sidor (från-till)243–261
TidskriftMonatshefte für Mathematik
Volym189
Utgåva2
DOI
StatusPublicerad - 2019
MoE-publikationstypA1 Tidskriftsartikel-refererad

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