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Variation type characterization of product Hardy spaces

  • Laura Angeloni,
  • Elijah Liflyand,
  • Gianluca Vinti

摘要

In the multidimensional Euclidean space, except the classical real Hardy space, there are numerous product ones. We associate with each of them a class of functions related to the known variations and new ones. Such a characterization is fulfilled by means of the integrability of the Fourier transform