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

TY - JOUR

T1 - A local T(b) theorem for perfect multilinear Calderón–Zygmund operators

AU - Mirek, Mariusz

AU - Thiele, Christoph

PY - 2017/1/25

Y1 - 2017/1/25

N2 - We prove a multilinear local T ( b ) T(b) theorem that differs from previously considered multilinear local T ( b ) T(b) theorems in using exclusively general testing functions b 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 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.

AB - We prove a multilinear local T ( b ) T(b) theorem that differs from previously considered multilinear local T ( b ) T(b) theorems in using exclusively general testing functions b 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 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.

U2 - 10.1112/plms.12000

DO - 10.1112/plms.12000

M3 - Article

SN - 0024-6115

VL - 114

SP - 35

EP - 59

JO - PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY

JF - PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY

IS - 1

ER -