Weak Type Estimates for Square Functions of Dunkl Heat Flows
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\'on--Zygmund decomposition, which is the continuity of the recently work [arXiv:2003.11843] where the dimension-free Lp boundedness of the same square function is studied.
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