Composition followed by differentiation between weighted Bergman spaces and weighted Banach spaces of holomorphic functions
Keyword(s):
AbstractLet Φ be an analytic self-map of the open unit disk D in the complex plane. Such a map induces through composition a linear composition operator CΦ: f ↦ f◦Φ.We are interested in the combination of CΦwith the differentiation operator D, that is in the operator DCΦ: f ↦ Φ` · (f ◦ Φ) acting between weighted Bergman spaces and weighted Banach spaces of holomorphic functions
2010 ◽
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pp. 325-332
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2008 ◽
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pp. 161-165
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Keyword(s):
2012 ◽
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2008 ◽
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Vol 108
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pp. 289-320
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