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Conditions for boundedness into Hardy spaces

Author

Listed:
  • Loukas Grafakos
  • Shohei Nakamura
  • Hanh Van Nguyen
  • Yoshihiro Sawano

Abstract

We obtain the boundedness from a product of Lebesgue or Hardy spaces into Hardy spaces under suitable cancellation conditions for a large class of multilinear operators that includes the Coifman–Meyer class, sums of products of linear Calderón–Zygmund operators and combinations of these two types.

Suggested Citation

  • Loukas Grafakos & Shohei Nakamura & Hanh Van Nguyen & Yoshihiro Sawano, 2019. "Conditions for boundedness into Hardy spaces," Mathematische Nachrichten, Wiley Blackwell, vol. 292(11), pages 2383-2410, November.
    • Handle: RePEc:bla:mathna:v:292:y:2019:i:11:p:2383-2410
    DOI: 10.1002/mana.201800252
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