Heating of the Beurling operator: Sufficient conditions for the two-weight case
Studia Mathematica (2008)
- Volume: 186, Issue: 3, page 203-217
- ISSN: 0039-3223
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topS. Petermichl, and J. Wittwer. "Heating of the Beurling operator: Sufficient conditions for the two-weight case." Studia Mathematica 186.3 (2008): 203-217. <http://eudml.org/doc/284562>.
@article{S2008,
abstract = {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.},
author = {S. Petermichl, J. Wittwer},
journal = {Studia Mathematica},
keywords = {Bellman functions; weights},
language = {eng},
number = {3},
pages = {203-217},
title = {Heating of the Beurling operator: Sufficient conditions for the two-weight case},
url = {http://eudml.org/doc/284562},
volume = {186},
year = {2008},
}
TY - JOUR
AU - S. Petermichl
AU - J. Wittwer
TI - Heating of the Beurling operator: Sufficient conditions for the two-weight case
JO - Studia Mathematica
PY - 2008
VL - 186
IS - 3
SP - 203
EP - 217
AB - 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.
LA - eng
KW - Bellman functions; weights
UR - http://eudml.org/doc/284562
ER -
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