A Note On $\ell^r$-Valued Calderon-Zygmund Operators
Classical Analysis and ODEs
2012-10-29 v1
Abstract
We consider extensions of Calderon-Zygmund operators on weighted spaces with an weight and . We give quantitative estimates of these operators' norm in terms of a given weight's characteristic. In particular, using a decomposition theorem of A. Lerner, we show that these extensions recover certain scalar estimates. Related results on general Banach spaces have been studied by Hytonen and Hannien.
Keywords
Cite
@article{arxiv.1210.7025,
title = {A Note On $\ell^r$-Valued Calderon-Zygmund Operators},
author = {James Scurry},
journal= {arXiv preprint arXiv:1210.7025},
year = {2012}
}