Manuel D. Contreras, José A. Peláez, Christian Pommerenke, Jouni Rättyä
Published 2016-04-05Version 1
We address the problem of studying the boundedness, compactness and weak compactness of the integral operators $T_g(f)(z)=\int_0^z f(\zeta)g'(\zeta)\,d\zeta$ acting from a Banach space $X$ into $H^\infty$. We obtain a collection of general results which are appropriately applied and mixed with specific techniques in order to solve the posed questions to particular choices of $X$.
Smooth norms and approximation in Banach spaces of the type C(K)
Vector-valued Walsh-Paley martingales and geometry of Banach spaces
Embedding $\ell_{\infty}$ into the space of all Operators on Certain Banach Spaces
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