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arXiv · 2101.04056

Weak Type Estimates for Square Functions of Dunkl Heat Flows

Huaiqian Li
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Abstract

The weak $(1,1)$ 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 $L^p$ boundedness of the same square function is studied.

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Huaiqian Li. 2021-01-07. Weak Type Estimates for Square Functions of Dunkl Heat Flows. https://doi.org/10.1007/s10255-025-0029-2

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