A local theorem for perfect multilinear Calderón–Zygmund operators
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.
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.
Abstract
We prove a multilinear local theorem that differs from previously considered multilinear local theorems in using exclusively general testing functions 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 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.
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