1Département de Mathématiques Université de Bordeaux 1 351, Cours de la Libération 33405 Talence, France 2Westminster College 1840 S 1300 E Salt Lake City, UT 84105, U.S.A.
Studia Mathematica, Tome 186 (2008) no. 3, pp. 203-217
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 $L^2(v)$. Our conditions are simple estimates involving heat extensions and Green's potentials of the weights.
1
Département de Mathématiques Université de Bordeaux 1 351, Cours de la Libération 33405 Talence, France
2
Westminster College 1840 S 1300 E Salt Lake City, UT 84105, U.S.A.
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author = {S. Petermichl and J. Wittwer},
title = {Heating of the {Beurling} operator:
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Sufficient conditions for the two-weight case
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S. Petermichl; J. Wittwer. Heating of the Beurling operator:
Sufficient conditions for the two-weight case. Studia Mathematica, Tome 186 (2008) no. 3, pp. 203-217. doi: 10.4064/sm186-3-1
