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arXiv · 1604.01214

Integral operators mapping into the space of bounded analytic functions

Manuel D. Contreras·José A. Peláez·Christian Pommerenke·Jouni Rättyä
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Abstract

We address the problem of studying the boundedness, compactness and weak compactness of the integral operators $T_g(f)(z)=\int_0^z f(ζ)g'(ζ)\,dζ$ 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 $X$.

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Manuel D. Contreras, José A. Peláez, Christian Pommerenke, Jouni Rättyä. 2016-04-05. Integral operators mapping into the space of bounded analytic functions. https://arxiv.org/abs/1604.01214

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