MULTILINEAR LOCAL TB THEOREM FOR SQUARE FUNCTIONS

作者:de la Herran Ana Grau*; Hart Jarod; Oliveira Lucas
来源:Annales Academiae Scientiarum Fennicae-Mathematica, 2013, 38(2): 697-720.
DOI:10.5186/aasfm.2013.3841

摘要

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.

  • 出版日期2013