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A note about Volterra operators on weighted Banach spaces of entire functions
Author(s) -
Bonet José,
Taskinen Jari
Publication year - 2015
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201400099
Subject(s) - mathematics , compact space , banach space , holomorphic function , pure mathematics , complement (music) , lp space , interpolation space , eberlein–šmulian theorem , fock space , hardy space , discrete mathematics , functional analysis , biochemistry , chemistry , physics , quantum mechanics , complementation , gene , phenotype
We characterize boundedness, compactness and weak compactness of Volterra operators V g acting between different weighted Banach spacesH 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 Paul [3][M. Basallote, ] for spaces of holomorphic functions on the disc and by Constantin and Peláez [16][O. Constantin, ] for reflexive weighted Fock spaces.