Intrinsic square functions with arbitrary aperture
Classical Analysis and ODEs
2017-08-11 v3
Abstract
We consider intrinsic square functions defined using (log-)Dini continuous test functions on spaces of homogeneous type. We prove weighted estimates with optimal (at least in the Euclidean case) dependence on the aperture of the cone used to define the square function and linear dependence on the (log-)Dini modulus of continuity.
Cite
@article{arxiv.1605.02936,
title = {Intrinsic square functions with arbitrary aperture},
author = {Pavel Zorin-Kranich},
journal= {arXiv preprint arXiv:1605.02936},
year = {2017}
}
Comments
v3: now on spaces of homogeneous type, 12 pages