Composition Operators on Generalized Hardy Spaces.
Autor: | Leblond, Juliette, Pozzi, Elodie, Russ, Emmanuel |
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Zdroj: | Complex Analysis & Operator Theory; Dec2015, Vol. 9 Issue 8, p1733-1757, 25p |
Abstrakt: | We study the composition operators $$f\mapsto f\circ \phi $$ on generalized analytic function spaces named generalized Hardy spaces, on bounded domains of $$\mathbb {C}$$ , for holomorphic functions $$\phi $$ with uniformly bounded derivative. In particular, we provide necessary and/or sufficient conditions on $$\phi $$ , depending on the geometry of the domains, ensuring that these operators are bounded, invertible, or isometric. [ABSTRACT FROM AUTHOR] |
Databáze: | Complementary Index |
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