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Boundedness of composition operators with mixed homogeneities

Fanghui Liao and Hongbin Wang

Mathematische Nachrichten, 2019, vol. 292, issue 12, 2643-2653

Abstract: Suppose that T1 is a Calderón–Zygmund operator with isotropic homogeneity and T2 is a Calderón–Zygmund operator with non‐isotropic homogeneity. In this note, the boundedness of the composition operator T1∘T2 on the Hardy space is presented. The results in this paper extend earlier related results on convolution operators to non‐convolution setting.

Date: 2019
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https://doi.org/10.1002/mana.201700383

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