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517.547+517.982 (1) |
Analysis (300) |
Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis (242) |
SM ISO690:2012 WOLF, Elke. Composition followed by differentiation between weighted Bergman spaces and weighted Banach spaces of holomorphic functions. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2014, nr. 2(75), pp. 29-35. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 2(75) / 2014 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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CZU: 517.547+517.982 | ||||||
Pag. 29-35 | ||||||
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Rezumat | ||||||
Let 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 C φ : f 7→ f ◦ φ . We are interested in the combination of C φ weith the differentiation operator D , that is in the operator DC φ : f 7→ φ ′ ( f ◦ φ ) acting between weighted Bergman spaces and weighted Banach spaces of holomorphic functions. |
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Cuvinte-cheie Composition operator, differentiation operator, weighted Bergman spaces, weighted Banach spaces of holomorphic functions |
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