A note about Volterra operators on weighted Banach spaces of entire functions. Issue 11 (21st March 2015)

• Record Type: Journal Article
• Authors: Bonet, José; Taskinen, Jari
• Is Part Of: Mathematische Nachrichten. Volume 288:Issue 11/12(2015)
• Page Start: 1216
• Page End: 1225
• Publication Date: 2015-03-21
• Subjects: Integral operator -- Volterra operator -- entire functions -- growth conditions -- weighted Banach spaces of entire functions -- boundedness compactness -- Primary: 47G10; Secondary: 47B07 -- 47B37 -- 47B38 -- 30D15 -- 30D20 -- 46E15; Mathematics -- Periodicals; 510.5
• DOI: 10.1002/mana.201400099
• Languages: English
• ISSNs: 0025-584X

Abstract

Abstract : We characterize boundedness, compactness and weak compactness of Volterra operators V g acting between different weighted Banach spaces H v ∞ ( C ) of entire functions with sup‐norms in terms of the symbol g ; thus we complement recent work by Bassallote, Contreras, Hernández‐Mancera, Martín and Paul3 for spaces of holomorphic functions on the disc and by Constantin and Peláez16 for reflexive weighted Fock spaces.