The Boundedness of Monge-Ampère Singular Integral Operators

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We first define molecules for Hardy spaces H 1 F(ℝ) associated with a family F of sections which is closely related to the Monge-Ampère equation and prove their molecular characters. As an application, we show that Monge-Ampère singular operators are bounded on H 1 F(ℝ).

Original languageEnglish
Pages (from-to)211-222
Number of pages12
JournalJournal of Fourier Analysis and Applications
Issue number2
StatePublished - Apr 2012


  • Hardy spaces
  • Molecular characterization
  • Monge-Ampère equation
  • Monge-Ampère singular integral operators


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