Weak Type Estimates for Square Functions of Dunkl Heat Flows
Classical Analysis and ODEs
2025-06-02 v2 Analysis of PDEs
Probability
Abstract
The weak boundedness of the Littlewood--Paley--Stein square function for the Dunkl heat flow is proved via estimates on the Dunkl heat kernel of integral type and the Caldr\'{o}n--Zygmund decomposition, which is the continuity of the recently work [arXiv:2003.11843] where the dimension-free boundedness of the same square function is studied.
Cite
@article{arxiv.2101.04056,
title = {Weak Type Estimates for Square Functions of Dunkl Heat Flows},
author = {Huaiqian Li},
journal= {arXiv preprint arXiv:2101.04056},
year = {2025}
}
Comments
Comments are welcome!