Composition operators on μ-Bloch spaces
2009 ◽
Vol 61
(1)
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pp. 50-75
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Keyword(s):
Abstract. Given a positive continuous function μ on the interval 0 < t ≤ 1, we consider the space of so-called μ-Bloch functions on the unit ball. If μ(t ) = t, these are the classical Bloch functions. For μ, we define a metric Fμz (u) in terms of which we give a characterization of μ-Bloch functions. Then, necessary and sufficient conditions are obtained in order that a composition operator be a bounded or compact operator between these generalized Bloch spaces. Our results extend those of Zhang and Xiao.
2019 ◽
Vol 13
(04)
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pp. 2050082
2010 ◽
Vol 89
(3)
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pp. 407-418
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1995 ◽
Vol 58
(2)
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pp. 222-231
1991 ◽
Vol 33
(3)
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pp. 275-279
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2008 ◽
Vol 51
(2)
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pp. 195-204
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