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Information Center for Mathematical Science

논문검색

Information Center for Mathematical Science

논문검색

Duke Mathematical Journal
( Vol. 112 NO.2 / (2002))
Heating of the Ahlfors-Beurling Operator : Weakly Quasiregular Maps on the Plane are Quasiregular
Stefanie Petermichl, Alexander Volberg,
Pages. 281-305
Abstract
Contents 0. Introduction : Main objects and results
1. The sharp weighted estimate for the Ahlfors-Beurling operator in $L^2(w d A)$
2. The sharp weighted estimate for the Ahlfors-Beurling operator in $L^p(w d A)$ for $p > 2$
3. The comparison of classical and heat $A_p$-characteristics
4. Injectivity at the critical exponent and regularity of solutions of the Beltrami equation
Key words
Mathmatical Subject Classification 42B20, 42C15, 42A50, 47B35, 47