A two weight local $Tb$ theorem for $n$-dimensional fractional singular integrals
Classical Analysis and ODEs
2020-11-12 v1
Abstract
We obtain a local two weight theorem with an energy side condition for higher dimensional fractional Calder\'{o}n-Zygmund operators. The proof follows the general outline of the proof for the corresponding one-dimensional theorem in [SaShUr12], but encountering a number of new challenges, including several arising from the failure in higher dimensions of T. Hyt\"{o}nen's one-dimensional two weight inequality [Hyt].
Cite
@article{arxiv.2011.05637,
title = {A two weight local $Tb$ theorem for $n$-dimensional fractional singular integrals},
author = {Christos Grigoriadis and Michail Paparizos and Eric T. Sawyer and Chun-Yen Shen and Ignacio Uriarte-Tuero},
journal= {arXiv preprint arXiv:2011.05637},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1709.09595