Isometric Equivalence of Differentiated Composition Operators between Spaces of Analytic Functions

• Autores: Nadia J. Gal
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 33, Nº 3, 2007, págs. 921-926
• Idioma: inglés
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• Resumen

  • The differentiated composition operator on the Hardy space is defined as the composition with an analytic self-map of the disk, followed by differentiation. We consider the isometric equivalence problem of the differentiated composition operator on Hardy and Bergman spaces. Using Forrelli's form for the isometric isomorphism on the Hardy space, we obtain a result similar to the result of R. C. Wright for the isometric equivalence problem of composition operators on the Hardy space.