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Heating of the Beurling operator: Sufficient conditions for the two-weight case

S. Petermichl; J. Wittwer — 2008

Studia Mathematica

We establish sufficient conditions on the two weights w and v so that the Beurling-Ahlfors transform acts continuously from $L ² (w^{- 1})$ to L²(v). Our conditions are simple estimates involving heat extensions and Green’s potentials of the weights.

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