Fourier spectrum characterization of Hardy spaces and applications

  • Qian T
  • Xu Y
  • Yan D
  • et al.
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Abstract

We characterize in terms of Fourier spectrum the boundary values of functions in the complex Hardy spaces H p (C ±), 1 ≤ p ≤ ∞. As an application we extend the Bedrosian identity, originally stated for square-integrable functions, to the L p (R) cases.

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Qian, T., Xu, Y., Yan, D., Yan, L., & Yu, B. (2008). Fourier spectrum characterization of Hardy spaces and applications. Proceedings of the American Mathematical Society, 137(03), 971–980. https://doi.org/10.1090/s0002-9939-08-09544-0

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