Sharp growth estimates for dyadic $b$-input $T(b)$ theorems

Sharp growth estimates for dyadic $b$-input $T(b)$ theorems

The following deals with the $T(b)$ theorems of David, Journé, and Semmes [7] considered in a dyadic setting. We find sharp growth estimates for a global and a local dyadic $T(b)$ Theorem. We use multiscale analysis and Haar wavelets in the local case.

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Veröffentlicht in:Publicacions matemàtiques 2008-01, Vol.52 (2), p.267-287
1. Verfasser: Salomone, S. A
Format: Artikel
Sprache:eng
Schlagworte:
42B20
Applied mathematics
Children
dyadic
Dyadics
Haar wavelets
Integrable functions
Mathematical constants
Mathematical functions
Mathematical growth
Mathematical integrals
Mathematical theorems
multiscale analysis
T(b)
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Zusammenfassung:The following deals with the $T(b)$ theorems of David, Journé, and Semmes [7] considered in a dyadic setting. We find sharp growth estimates for a global and a local dyadic $T(b)$ Theorem. We use multiscale analysis and Haar wavelets in the local case.
ISSN:2014-4350
0214-1493
2014-4350
DOI:10.5565/PUBLMAT_52208_02