Weighted composition operators with closed range
2007 ◽
Vol 75
(3)
◽
pp. 331-354
◽
Keyword(s):
We study the closed range property of weighted composition operators on weighted Bergman spaces of infinite order (including the Hardy space of infinite order). We give some necessary and sufficient conditions and find a complete characterisation for weighted composition operators associated with conformal mappings. We also give the corresponding results for composition operators on the Bloch-type spaces. Therefore, the results obtained in this paper also improve and generalise the results of Ghatage, Yan, Zheng and Zorboska.
2008 ◽
Vol 2008
(1)
◽
pp. 619525
◽
2015 ◽
Vol 2015
(1)
◽
2009 ◽
Vol 65
(2)
◽
pp. 195-210
◽
2011 ◽
Vol 04
(04)
◽
pp. 695-703
◽