Abstract
We introduce a full scale of Lorentz-BMO spaces BMOLp,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].
Funding Statement
The first author gratefully acknowledges support by the LMS and Proyecto BFM2002-04013. The second author gratefully acknowledges support by EPSRC and by the Nuffield Foundation.
Citation
Oscar Blasco. Sandra Pott. "Carleson's counterexample and a scale of Lorentz-BMO spaces on the bitorus." Ark. Mat. 43 (2) 289 - 305, October 2005. https://doi.org/10.1007/BF02384781
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