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

Identificadors del recurs

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

2038-4815

0010-0757

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:: RACO (Revistes Catalanes amb Accés Obert)
Idioma:: Catalan; Valencian
Relació:: Collectanea Mathematica; 2010: Vol.: 61 Núm.: 2; 151-171;; http://www.raco.cat/index.php/CollectaneaMathematica/article/view/173654/226006
Autor/Productor:: Salomone, Stephanie Anne
Editor:: Universitat de Barcelona
Drets:: info:eu-repo/semantics/openAccess
Data:: 2010
Tipus de recurs:: info:eu-repo/semantics/article; info:eu-repo/semantics/publishedVersion
Format:: application/pdf

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