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Univalent symbols of Volterra operators on growth spaces

Univalent symbols of Volterra operators on growth spaces Let w and v be arbitrary radial weights on the unit disk $${\mathbb {D}}$$ D . We characterize those univalent symbols $$g\in Hol({\mathbb {D}})$$ g ∈ H o l ( D ) for which the Volterra operator $$T_g$$ T g maps boundedly the growth space $${\mathcal {A}}^w({\mathbb {D}})$$ A w ( D ) into $${\mathcal {A}}^v({\mathbb {D}})$$ A v ( D ) . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

Univalent symbols of Volterra operators on growth spaces

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Publisher
Springer Journals
Copyright
Copyright © 2019 by Springer Nature Switzerland AG
Subject
Mathematics; Analysis; Mathematical Methods in Physics
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-019-00283-0
Publisher site
See Article on Publisher Site

Abstract

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

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Feb 5, 2019

References