Composition followed by differentiation between weighted Banach spaces of holomorphic functions

• Autores: Elke Wolf
• Localización: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM ), ISSN-e 1578-7303, Vol. 105, Nº. 2, 2011, págs. 315-322
• Idioma: inglés
• DOI: 10.1007/s13398-011-0040-8
• Texto completo no disponible (Saber más ...)
• Resumen

  • Let φ be an analytic self-map of the open unit disk in the complex plane. This map induces a composition operator followed by differentiation φ acting between weighted Banach spaces of holomorphic functions. We give a characterization for such an operator to be bounded resp. compact in terms of the involved weights as well as the function φ. © 2011 Springer-Verlag.

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