Product hardy spaces associated with para-accretive functions and T b theorem

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Abstract

We introduce the Hardy spaces associated with para-accretive functions in product domains and demonstrate their atomic decompositions as well as duality. Then, we establish the endpoint version of product T b theorem with respect to our Hardy spaces and the dual spaces.

Original languageEnglish
Pages (from-to)1438-1484
Number of pages47
JournalNew York Journal of Mathematics
Volume25
StatePublished - 2019

Keywords

  • Caldernón-Zygmund operator
  • Carleson measure space
  • Journé’s class
  • Littlewood-Paley function
  • Para-accretive function
  • Product Hardy space

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