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Carleson's counterexample and a scale of Lorentz-BMO spaces on the bitorus

Oscar Blasco Department of Mathematics, Universitat de Valencia Sandra Pott Department of Mathematics, University of Glasgow

TBD mathscidoc:1701.333058

Arkiv for Matematik, 43, (2), 289-305, 2003.12
We introduce a full scale of Lorentz-BMO spaces BMO_{$L$}^{$p,q$}on the bidisk, and show that these spaces do not coincide for different values of$p$and$q$. Our main tool is a detailed analysis of Carleson's construction in [C].
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@inproceedings{oscar2003carleson's,
  title={Carleson's counterexample and a scale of Lorentz-BMO spaces on the bitorus},
  author={Oscar Blasco, and Sandra Pott},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203614454929867},
  booktitle={Arkiv for Matematik},
  volume={43},
  number={2},
  pages={289-305},
  year={2003},
}
Oscar Blasco, and Sandra Pott. Carleson's counterexample and a scale of Lorentz-BMO spaces on the bitorus. 2003. Vol. 43. In Arkiv for Matematik. pp.289-305. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203614454929867.
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