A local T(b) theorem for perfect multilinear Calderón–Zygmund operators

Abstract

We prove a multilinear local T ( b ) theorem that differs from previously considered multilinear local T ( b ) theorems in using exclusively general testing functions b as opposed to a mix of general testing functions and indicator functions. The main new feature is a set of relations between the various testing functions b that, to our knowledge has not been observed in the literature and is necessitated by our approach. For simplicity we restrict attention to the perfect dyadic model.

Locations

• Proceedings of the London Mathematical Society - View
• arXiv (Cornell University) - View - PDF