A Characterization of Product BMO by Commutators

نویسندگان

  • Michael T. Lacey
  • Sarah H. Ferguson
چکیده

Here R+ denotes the upper half-plane and BMO(R 2 +×R 2 +) is defined to be the dual of the realvariable Hardy space H on the product domain R+×R 2 +. There are several equivalent ways to define this latter space and the reader is referred to [5] for the various characterizations. We will be more interested in the biholomorphic analogue of H, which can be defined in terms of the boundary values of biholomorphic functions on R+ × R 2 + and will be denoted throughout by H(R+ × R 2 +), cf [10].

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تاریخ انتشار 2002