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

2005

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].

symbols.namesakeScale (ratio)General MathematicsLorentz transformationMathematical analysisFull scalesymbolsMathematicsCounterexample
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