Non-Homogeneous Local $T1$ Theorem: Dual Exponents
Classical Analysis and ODEs
2013-03-14 v4
Abstract
We provide an alternative proof of a (local) T1 theorem for dual exponents in the non-homogeneous setting of upper doubling measures. This previously known theorem provides necessary and sufficient conditions for the L^p-boundedness of Calder\'on-Zygmund operators in the described setting, and the novelty lies in the method of proof.
Keywords
Cite
@article{arxiv.1301.5858,
title = {Non-Homogeneous Local $T1$ Theorem: Dual Exponents},
author = {Michael T. Lacey and Antti V. Vähäkangas},
journal= {arXiv preprint arXiv:1301.5858},
year = {2013}
}
Comments
34 pages, two figures. V2: the main theorem's position in the literature is reassessed. V3: references included. V4: the main theorem is covered by http://arxiv.org/abs/1004.3176