On the consequences of a Mihlin-H\"ormander functional calculus: maximal and square function estimates
Functional Analysis
2016-08-08 v1
Abstract
We prove that the existence of a Mihlin-H\"ormander functional calculus for an operator implies the boundedness on of both the maximal operators and the continuous square functions build on spectral multipliers of The considered multiplier functions are finitely smooth and satisfy an integral condition at infinity. In particular multipliers of compact support are admitted.
Cite
@article{arxiv.1507.08114,
title = {On the consequences of a Mihlin-H\"ormander functional calculus: maximal and square function estimates},
author = {Błażej Wróbel},
journal= {arXiv preprint arXiv:1507.08114},
year = {2016}
}