Kyungpook Mathematical Journal

  • 제63권4호
  • /
  • Pages.577-591
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  • 2023
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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A Note on Marcinkiewicz Integral Operators on Product Domains

  • Badriya Al-Azri (Sultan Qaboos University, College of Science, Department Mathematics) ;
  • Ahmad Al-Salman (Sultan Qaboos University, College of Science, Department Mathematics)
  • 투고 : 2022.05.09
  • 심사 : 2023.07.05
  • 발행 : 2023.12.31
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초록

In this paper we establish the Lp boundedness of Marcinkiewicz integral operators on product domains with rough kernels satisfying a weak size condition. We assume that our kernels are supported on surfaces generated by curves more general than polynomials and convex functions. This generalizes and extends previous results.

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참고문헌

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