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19 p, 191.4 KB Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces / Dragicevic, Oliver ; Grafakos, Loukas ; Pereyra, María Cristina ; Petermichl, Stefanie
We obtain sharp weighted Lp estimates in the Rubio de Francia extrapolation theorem in terms of the Ap characteristic constant of the weight. Precisely, if for a given 1 < r < [infinity] the norm of a sublinear operator on Lr(w) is bounded by a function of the Ar characteristic constant of the weight w, then for p > r it is bounded on Lp(v) by the same increasing function of the Ap characteristic constant of v, and for p < r it is bounded on Lp(v) by the same increasing function of the r-1/p-1 power of the Ap characteristic constant of v. [...]
2005 - 10.5565/PUBLMAT_49105_03
Publicacions matemàtiques, V. 49 N. 1 (2005) , p. 73-91  

Documents de recerca 1 registres trobats  
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22 p, 317.5 KB A rotation method which gives linear Lp-Estimates for powers of the Ahlfors-Beurling operator / Dragicevic, Oliver ; Petermichl, Stefanie ; Volberg, A. ; Centre de Recerca Matemàtica
"Vegeu el resum a l'inici del document del fitxer adjunt. ".
Centre de Recerca Matemàtica 2006 (Prepublicacions del Centre de Recerca Matemàtica ; 690)  

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1 Dragicevic, O.
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