Biduals of weighted banach spaces of analytic functions
1993 ◽
Vol 54
(1)
◽
pp. 70-79
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Keyword(s):
AbstractFor a positive continuous weight function ν on an open subset G of CN, let Hv(G) and Hv0(G) denote the Banach spaces (under the weighted supremum norm) of all holomorphic functions f on G such that ν f is bounded and ν f vanishes at infinity, respectively. We address the biduality problem as to when Hν(G) is naturally isometrically isomorphic to Hν0(G)**, and show in particular that this is the case whenever the closed unit ball in Hν0(G) in compact-open dense in the closed unit ball of Hν(G).
1999 ◽
Vol 42
(2)
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pp. 139-148
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2018 ◽
Vol 43
◽
pp. 521-530
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2000 ◽
Vol 61
(3)
◽
pp. 872-884
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2008 ◽
Vol 340
(2)
◽
pp. 884-891
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2012 ◽
Vol 170
(3-4)
◽
pp. 311-323
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The Essential Norm of Weighted Composition Operators on Weighted Banach Spaces of Analytic Functions
2011 ◽
Vol 72
(2)
◽
pp. 151-157
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2013 ◽
Vol 65
(2)
◽
pp. 233-249
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Keyword(s):
2004 ◽
Vol 141
(1)
◽
pp. 263-276
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