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Boundedness of composition operators with mixed homogeneities

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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 on the Hardy space is presented. The results in this paper extend earlier related results on convolution operators to non‐convolution setting.

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