• 제목/요약/키워드: multilinear fractional integral

검색결과 3건 처리시간 0.016초

WEAK FACTORIZATIONS OF H1 (ℝn) IN TERMS OF MULTILINEAR FRACTIONAL INTEGRAL OPERATOR ON VARIABLE LEBESGUE SPACES

  • Zongguang Liu;Huan Zhao
    • 대한수학회보
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    • 제60권6호
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    • pp.1439-1451
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    • 2023
  • This paper provides a constructive proof of the weak factorizations of the classical Hardy space H1(ℝn) in terms of multilinear fractional integral operator on the variable Lebesgue spaces, which the result is new even in the linear case. As a direct application, we obtain a new proof of the characterization of BMO(ℝn) via the boundedness of commutators of the multilinear fractional integral operator on the variable Lebesgue spaces.

SOME MULTI-SUBLINEAR OPERATORS ON GENERALIZED MORREY SPACES WITH NON-DOUBLING MEASURES

  • Shi, Yanlong;Tao, Xiangxing
    • 대한수학회지
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    • 제49권5호
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    • pp.907-925
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    • 2012
  • In this paper the boundedness for a large class of multi-sublinear operators is established on product generalized Morrey spaces with non-doubling measures. As special cases, the corresponding results for multilinear Calder$\acute{o}$n-Zygmund operators, multilinear fractional integrals and multi-sublinear maximal operators will be obtained.