Titlebook: Composition Operators; and Classical Functi Joel H. Shapiro Textbook 1993 Springer Science+Business Media New York 1993 Complex analysis.De

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https://doi.org/10.1007/978-1-4612-0887-7Complex analysis; Derivative; Hilbert space; Schwarz lemma; compactness; differential equation

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Compactness and Eigenfunctions,ing maps. Here we begin to study how compactness affects the . of a composition operator. The eigenfunction equation for a composition operator C. is called .and has been studied in one form or another since the late nineteenth century [Shr ‘71].

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Compactness: General Case, abandon univalence, and attack the compactness problem for composition operators induced by arbitrary holomorphic self-maps of the disc. As you might guess, the solution involves not only the geometry of the inducing map’s image, but its “affinity” for each of the points in this image.

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Composition Operators978-1-4612-0887-7Series ISSN 0172-5939 Series E-ISSN 2191-6675

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Statistische Gesamtheiten des Gleichgewichtsing maps. Here we begin to study how compactness affects the . of a composition operator. The eigenfunction equation for a composition operator C. is called .and has been studied in one form or another since the late nineteenth century [Shr ‘71].

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