Dyadic BMO on the bidisk

  • Óscar Blasco

    Universidad de Valencia, Spain
  • Sandra Pott

    Lund University, Sweden


We give several new characterizations of the dual of the dyadic Hardy space , the so-called dyadic BMO space in two variables and denoted . These include characterizations in terms of Haar multipliers, in terms of the “ymmetrised paraproduct” , in terms of the rectangular BMO norms of the iterated “weeps”, and in terms of nested commutators with dyadic martingale transforms. We further explore the connection between and John–Nirenberg type inequalities, and study a scale of rectangular BMO spaces.

Cite this article

Óscar Blasco, Sandra Pott, Dyadic BMO on the bidisk. Rev. Mat. Iberoam. 21 (2005), no. 2, pp. 483–510

DOI 10.4171/RMI/427