Heating of the Beurling operator: Sufficient conditions for the two-weight case
S. Petermichl ; J. Wittwer
Studia Mathematica, Tome 187 (2008), p. 203-217 / Harvested from The Polish Digital Mathematics Library
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We establish sufficient conditions on the two weights w and v so that the Beurling-Ahlfors transform acts continuously from L²(w-1) to L²(v). Our conditions are simple estimates involving heat extensions and Green’s potentials of the weights.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:284562 
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S. Petermichl; J. Wittwer. Heating of the Beurling operator: Sufficient conditions for the two-weight case. Studia Mathematica, Tome 187 (2008) pp. 203-217. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm186-3-1/