Annales Academiĉ Scientiarum Fennicĉ
Mathematica
Volumen 38, 2013, 697-720
University of Helsinki, Department of Mathematics and Statistics
P.O. Box 68, FI-00014 Helsinki, Finland; ana.grau 'at' helsinki.fi
University of Kansas, Department of Mathematics
Lawrence, KS 66045, U.S.A.; jhart 'at' math.ku.edu
Universidade Federal do Rio Grande do Sul, Departamento de Matemática
Porto Alegre, RS 91509-900; lucas.oliveira 'at' ufrgs.br
Abstract. In the present work we extend a local Tb theorem for square functions of Christ [3] and Hofmann [17] to the multilinear setting. We also present a new BMO type interpolation result for square functions associated to multilinear operators. These square function bounds are applied to prove a multilinear local Tb theorem for singular integral operators.
2010 Mathematics Subject Classification: Primary 42B02; Secondary 44A02.
Key words: Bilinear, T1 Theorem, Tb theorem, Calderón-Zygmund operators, square function.
Reference to this article: A. Grau de la Herrán, J. Hart and L. Oliveira: Multilinear local Tb theorem for square functions. Ann. Acad. Sci. Fenn. Math. 38 (2013), 697-720.
doi:10.5186/aasfm.2013.3841
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