000001951 001 __ 1951
000001951 005 __ 20241207085404.0
000001951 024 7_ $2 doi $a 10.5565/PUBLMAT_45101_07
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000001951 035 __ $9 recercauab $a ARE-60583
000001951 035 __ $9 articleid $a 20144350v45n1p163
000001951 035 __ $a oai:raco.cat:article/38011
000001951 035 __ $9 wos_id $a 000168797200007
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000001951 041 0_ $a eng
000001951 100 __ $0 0000-0001-7976-5433 $a Tolsa Domènech, Xavier $u Universitat Autònoma de Barcelona. Departament de Matemàtiques
000001951 245 12 $a A proof of the weak (1,1) inequality for singular integrals with non doubling measures based on a Calderón-Zygmund decomposition
000001951 251 __ $1 http://purl.org/coar/version/c_970fb48d4fbd8a85 $2 openaire4 $9 VoR $a Versió publicada
000001951 260 __ $c 2001
000001951 520 3_ $a Given a doubling measure µ on Rd, it is a classical result of harmonic analysis that Calderón-Zygmund operators which are bounded in L2(µ) are also of weak type (1, 1). Recently it has been shown that the same result holds if one substitutes the doubling condition on µ by a mild growth condition on µ. In this paper another proof of this result is given. The proof is very close in spirit to the classical argument for doubling measures and it is based on a new Calderón-Zygmund decomposition adapted to the non doubling situation.
000001951 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/
000001951 546 __ $a Anglès
000001951 599 __ $a recerca
000001951 655 _7 $1 http://purl.org/coar/resource_type/c_6501 $2 openaire4 $a Article $c literature
000001951 773 __ $g V. 45 N. 1 (2001), p. 163-174 $t Publicacions matemàtiques $x 2014-4350
000001951 856 40 $p 12 $s 151295 $u https://ddd.uab.cat/pub/pubmat/02141493v45n1/02141493v45n1p163.pdf
000001951 856 41 $3 Adreça alternativa $u https://raco.cat/index.php/PublicacionsMatematiques/article/view/38011
000001951 973 __ $f 163 $l 174 $n 1 $v 45 $x 02141493v45n1 $y 2001
000001951 980 __ $a ARTPUB $b UAB $b PUBMAT