Two-weight commutator estimates: general multi-parameter framework
Classical Analysis and ODEs
2020-09-04 v2
Abstract
We provide an explicit technical framework for proving very general two-weight commutator estimates in arbitrary parameters. The aim is to both clarify existing literature, which often explicitly focuses on two parameters only, and to extend very recent results to the full generality of arbitrary parameters. More specifically, we study two-weight commutator estimates -- Bloom type estimates -- in the multi-parameter setting involving weighted product BMO and little BMO spaces, and their combinations.
Cite
@article{arxiv.1906.10983,
title = {Two-weight commutator estimates: general multi-parameter framework},
author = {Emil Airta},
journal= {arXiv preprint arXiv:1906.10983},
year = {2020}
}
Comments
final version, incorporated referee comments, to appear in Publicacions Matem\`atiques, 35 pages