Composition Operators on Generalized Hardy Spaces.

Autor: Leblond, Juliette, Pozzi, Elodie, Russ, Emmanuel
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