<p>In this paper, we prove that the Calderón-Zygmund operator in Jourńe class is bounded on the mixed space-time radial-angular spaces. As applications, we obtain a weighted inequality and a vector-valued inequality of the Calderón-Zygmund operator in Jourńe class.</p>

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The boundedness of the Calderón-Zygmund operator in Jourńe class in the mixed time-space radial-angular spaces

  • Yaoyao Han

摘要

In this paper, we prove that the Calderón-Zygmund operator in Jourńe class is bounded on the mixed space-time radial-angular spaces. As applications, we obtain a weighted inequality and a vector-valued inequality of the Calderón-Zygmund operator in Jourńe class.