On inclusion relations between weighted spaces of entire functions

Gerhard Schindl

Veröffentlichungen: Beitrag in FachzeitschriftArtikelPeer Reviewed

Abstract

We characterize the inclusions of weighted classes of entire functions in terms of the defining weights resp. weight systems. First we treat weights defined in terms of a so-called associated weight function where the weight(system) is based on a given sequence. The abstract weight function case is then reduced to the weight sequence setting by using the so-called associated weight sequence. As an application of the main statements we characterize closedness under point-wise multiplication of these classes.

OriginalspracheEnglisch
Aufsatznummer103375
Seitenumfang51
FachzeitschriftBulletin des Sciences Mathematiques
Jahrgang190
DOIs
PublikationsstatusVeröffentlicht - Feb. 2024

ÖFOS 2012

  • 101008 Funktionentheorie

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