대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제58권2호
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  • Pages.403-417
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  • 2021
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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ON THE MIXED RADIAL-ANGULAR INTEGRABILITY OF LITTLEWOOD-PALEY FUNCTIONS

  • Zhang, Xiao (College of Mathematics and Systems Science Shandong University of Science and Technology)
  • 투고 : 2020.04.06
  • 심사 : 2020.07.09
  • 발행 : 2021.03.31
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⟨ 이전 논문 다음 논문 ⟩

초록

This note is devoted to establishing the boundedness for some classes of Littlewood-Paley square operators defined by the kernels without any regularity on the mixed radial-angular spaces. The corresponding vector-valued versions are also presented. As applications, the corresponding results for the Littlewood-Paley g∗λ function and the Littlewood-Paley function related to the area integrals are also obtained.

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참고문헌

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