Generalized Volterra operators mapping between Banach spaces of analytic functions

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Publikationens författare: Eklund Ted, Lindström Mikael, Pirasteh Maryam M., Sanatpour Amir H., Wikman Niklas
Publiceringsår: 2019
Tidskrift: Monatshefte für Mathematik
Volym: 189
Nummer: 2
Artikelns första sida, sidnummer: 243
Artikelns sista sida, sidnummer: 261


Abstrakt

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.


Senast uppdaterad 2020-31-03 vid 05:30