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Doubling measures with different bases

Doubling measures with different bases

Doubling measures on the real line appear in the study of quasiconformal mappings of the half-plane onto itself [BA] and harmonic measures of elliptic operators [CFMS].Dyadic doubling measures are related to martingales.These measures have been completely characterized by Fefferman, Kenig and Pipher [FKP].However, the null sets for these measures have …