대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제60권6호
  • /
  • Pages.1439-1451
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  • 2023
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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WEAK FACTORIZATIONS OF H1 (ℝn) IN TERMS OF MULTILINEAR FRACTIONAL INTEGRAL OPERATOR ON VARIABLE LEBESGUE SPACES

  • Zongguang Liu (Department of Mathematics China University of Mining and Technology) ;
  • Huan Zhao (Department of Mathematics Zhejiang University of Science and Technology)
  • 투고 : 2022.07.17
  • 심사 : 2023.08.31
  • 발행 : 2023.11.30
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초록

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.

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과제정보

Supported by the National Natural Science Foundation of China (No.11671397).

참고문헌

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  9. D. Wang and R. Zhu, Weak factorizations of the Hardy space in terms of multilinear fractional integral operator, J. Math. Anal. Appl. 517 (2023), no. 1, Paper No. 126608, 12 pp. https://doi.org/10.1016/j.jmaa.2022.126608