Geodesic
Heating of the Beurling operator: Sufficient conditions for the two-weight case
S. Petermichl 1   ; J. Wittwer 2
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.
Studia Mathematica, Tome 186 (2008) no. 3, pp. 203-217 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm186-3-1
Keywords: establish sufficient conditions weights beurling ahlfors transform acts continuously conditions simple estimates involving heat extensions greens potentials weights

S. Petermichl  1   ; J. Wittwer  2

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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     title = {Heating of the {Beurling} operator:
 {Sufficient} conditions for the two-weight case},
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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

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