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MR997386 (90k:42035) 42B25 (31A20)
Bañuelos, Rodrigo; Moore, Charles N. Laws of the iterated logarithm, sharp good-$\lambda$ inequalities and $L\sp p$-estimates for caloric and harmonic functions. Indiana Univ. Math. J. 38 (1989), no. 2, 315--344.
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