A weak 2-weight problem for the Poisson-Hermite semigroup

Abstract

This survey is a slightly extended version of the lecture given by the author at the VI International Course of Mathematical Analysis in Andaluc\' a (CIDAMA), in September 2014. Most results are contained (in a slightly less general setting) in the earlier paper [3] (Garrig\'os, Hartzstein, Signes, Torrea and Viviani, Pointwise convergence to initial data of heat and Laplace equations, Trans. Amer. Math. Soc. 368 (9) (2016), 6575-6600).

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