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A local T ( b ) theorem for perfect multilinear Calderón–Zygmund operators
Author(s) -
Mirek Mariusz,
Thiele Christoph
Publication year - 2017
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms.12000
Subject(s) - multilinear map , mathematics , set (abstract data type) , pure mathematics , discrete mathematics , simplicity , algebra over a field , computer science , philosophy , epistemology , programming language
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.