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We show the boundedness for the Dunkl-Calderón-Zygmund singular integral operators on the Hölder spaces. As consequences, the boundedness of the Dunkl-Riesz transforms on Hölder spaces is obtained.

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Singular Integral Operators and Hölder Spaces in Dunkl Setting

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  • 发表日期：

    2025年

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  • Yongsheng Han

摘要

We show the boundedness for the Dunkl-Calderón-Zygmund singular integral operators on the Hölder spaces. As consequences, the boundedness of the Dunkl-Riesz transforms on Hölder spaces is obtained.