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MR967310 (91e:43011) 43A80 (22E30 42B25 58G11)
Cowling, Michael; Gaudry, Garth; Giulini, Saverio; Mauceri, Giancarlo Weak type $(1,1)$ estimates for heat kernel maximal functions on Lie groups. Trans. Amer. Math. Soc. 323 (1991), no. 2, 637–649.
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