Carleson's counterexample and a scale of Lorentz-BMO spaces on the bitorus |
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| Authors: | Oscar Blasco Sandra Pott |
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| Affiliation: | (1) Department of Mathematics, Universitat de Valencia, ES-46100 Burjassot (Valencia), Spain;(2) Department of Mathematics, University of Glasgow, G12 8QW Glasgow, UK |
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| Abstract: | 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 ofp andq. Our main tool is a detailed analysis of Carleson's construction in [C]. 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. |
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