A local $T(b)$ theorem for perfect multilinear Calder\'{o}n-Zygmund operators
Classical Analysis and ODEs
2015-06-04 v1 Functional Analysis
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.
Keywords
Cite
@article{arxiv.1506.01264,
title = {A local $T(b)$ theorem for perfect multilinear Calder\'{o}n-Zygmund operators},
author = {Mariusz Mirek and Christoph Thiele},
journal= {arXiv preprint arXiv:1506.01264},
year = {2015}
}
Comments
24 pages, no figures