A note on composition operators on Hardy spaces of the polydisk

Details A note on composition operators on Hardy spaces of the polydisk A note on composition operators on Hardy spaces of the polydisk

2006-07-13

arxiv.org/abs/math/0607307v2

Mathematics

Complex Variables

8 pages

Scientific paper

In this work, we prove that weak compactness of composition operator on
$H^{1}(U^{n})$ coincides with its compactness. We also characterize bounded and
compact composition operators on $H^{1}(U^{n}).$\

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