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$b$-weighted dyadic BMO from dyadic BMO and associated $T(b)$ theorems

Identificadores del recurso

https://www.raco.cat/index.php/CollectaneaMathematica/article/view/173654

2038-4815

Procedència

(RACO: Revistes Catalanes amb Accés Obert)

Fitxa

Títol:: $b$-weighted dyadic BMO from dyadic BMO and associated $T(b)$ theorems
Descripció:: Given a function $b$, and using adapted Haar wavelets, we define a $\BMO$-type norm which is dependent on $b$. In both global and local cases, we find the dependence of the bounds on $\|f\|_{\BMO}$ by the bounds on the $b$-weighted $\BMO$ norm of $f$. We show that the dependence is sharp in the global case. Multiscale analysis is used in the local case. We formulate as corollaries global and local dyadic $T(b)$ theorems whose hypotheses include a bound on the $b$-weighted $\BMO$-norm of $T^*(1)$.
Font:: Collectanea Mathematica; 2010: Vol.: 61 Núm.: 2; p. 151-171; 0010-0757
Idioma:: English
Relació:: https://www.raco.cat/index.php/CollectaneaMathematica/article/view/173654/226006
Autor/Productor:: Salomone, Stephanie Anne
Editor:: Universitat de Barcelona
Drets:: Aquesta revista ofereix el text complet de tots els seus articles, excepte els dels cinc darrers anys, que s'aniran alliberant periòdicament fins el 2010. A partir del 2011 requereix subscripció. Podeu accedir-hi aquí. L'accés als articles a text complet inclosos a RACO és gratuït, però els actes de reproducció, distribució, comunicació pública o transformació total o parcial estan subjectes a les condicions d'ús de cada revista i poden requerir el consentiment exprés i escrit dels autors i/o institucions editores.
Data:: 2010
Tipo de recurso:: info:eu-repo/semantics/article; info:eu-repo/semantics/publishedVersion
Format:: application/pdf

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