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Boundedness of composition operators with mixed homogeneities

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  • Fanghui Liao
  • Hongbin Wang

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.

Suggested Citation

  • Fanghui Liao & Hongbin Wang, 2019. "Boundedness of composition operators with mixed homogeneities," Mathematische Nachrichten, Wiley Blackwell, vol. 292(12), pages 2643-2653, December.
  • Handle: RePEc:bla:mathna:v:292:y:2019:i:12:p:2643-2653
    DOI: 10.1002/mana.201700383
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