Bulletin of the Korean Mathematical Society (대한수학회보)

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WAVELET CHARACTERIZATIONS OF VARIABLE HARDY-LORENTZ SPACES

  • Yao He (School of Mathematics and Statistics Central South University)
  • Received : 2023.03.30
  • Accepted : 2023.10.19
  • Published : 2024.03.31
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Abstract

In this paper, let q ∈ (0, 1]. We establish the boundedness of intrinsic g-functions from the Hardy-Lorentz spaces with variable exponent Hp(·),q(ℝn) into Lorentz spaces with variable exponent Lp(·),q(ℝn). Then, for any q ∈ (0, 1], via some estimates on a discrete Littlewood-Paley g-function and a Peetre-type maximal function, we obtain several equivalent characterizations of Hp(·),q(ℝn) in terms of wavelets.

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References

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