6533b821fe1ef96bd127b078

RESEARCH PRODUCT

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

Oscar BlascoSandra Pott

subject

symbols.namesakeScale (ratio)General MathematicsLorentz transformationMathematical analysisFull scalesymbolsMathematicsCounterexample

description

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].

10.1007/bf02384781http://projecteuclid.org/euclid.afm/1485898901