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000002055 024 7_ $2 doi $a 10.5565/PUBLMAT_49105_03
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000002055 035 __ $9 articleid $a 20144350v49n1p73
000002055 035 __ $a oai:raco.cat:article/128392
000002055 035 __ $9 scopus_id $a 21144450839
000002055 035 __ $9 wos_id $a 000228803000003
000002055 041 0_ $a eng
000002055 100 1_ $a Dragicevic, Oliver
000002055 245 10 $a Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces
000002055 251 __ $1 http://purl.org/coar/version/c_970fb48d4fbd8a85 $2 openaire4 $9 VoR $a Versió publicada
000002055 260 __ $c 2005
000002055 520 3_ $a 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. For some operators these bounds are sharp, but not always. In particular, we show that they are sharp for the Hilbert, Beurling, and martingale transforms.
000002055 540 __ $9 open access $a Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets. $u https://rightsstatements.org/vocab/InC/1.0/
000002055 546 __ $a Anglès
000002055 599 __ $a recerca
000002055 653 1_ $a Extrapolation
000002055 653 1_ $a Sharp weighted estimates
000002055 653 1_ $a Dyadic square function
000002055 653 1_ $a Dyadic paraproduct
000002055 653 1_ $a Martingale transform
000002055 653 1_ $a Hilbert transform
000002055 653 1_ $a Beurling transform
000002055 655 _7 $1 http://purl.org/coar/resource_type/c_6501 $2 openaire4 $a Article $c literature
000002055 700 1_ $a Grafakos, Loukas
000002055 700 1_ $a Pereyra, María Cristina
000002055 700 1_ $0 0000-0003-2551-6997 $a Petermichl, Stefanie
000002055 773 __ $g V. 49 N. 1 (2005), p. 73-91 $t Publicacions matemàtiques $x 2014-4350
000002055 856 40 $p 19 $s 195954 $u https://ddd.uab.cat/pub/pubmat/02141493v49n1/02141493v49n1p73.pdf
000002055 856 41 $3 Adreça alternativa $u https://raco.cat/index.php/PublicacionsMatematiques/article/view/128392
000002055 973 __ $f 073 $l 91 $n 1 $v 49 $x 02141493v49n1 $y 2005
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