Bownik, MarcinHiserote, Martin2019-09-182019-09-182019-09-18https://hdl.handle.net/1794/24934We extend a well known result of Uchiyama, which gives a sufficient condition for a family of smooth homogeneous multipliers to characterize the Hardy space H^1(R^N), to the anisotropic setting.en-USAll Rights Reserved.Harmonic AnalysisElectronic Thesis or Dissertation