Integral operators mapping into H - BSL 2016

II Joint Conference of the Belgian, Royal Spanish and Luxembourg Mathematical Societies
Logroño, June 6–8, 2016
Integral operators mapping into H ∞
José Ángel Peláez1 ,
We address the problem of studying the boundedness,
compactness and weak comRz
pactness of the integral operators Tg (f )(z) = 0 f (ζ)g 0 (ζ) dζ acting from a Banach
space X into H ∞ . 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.
Joint work with Manuel D. Contreras, Christian Pommerenke and Jouni Rättyä.
Departamento de Análisis Matemático
Facultad de Ciencias
29071, Málaga, Spain.