We prove that, in arbitrary finite dimensions, the maximal operator for the Laguerre semigroup is of weak type (1,1). This extends Muckenhoupt's one-dimensional result.
Cite this article
Ulla Dinger, Weak Type (1,1) Estimates of the Maximal Function for the Laguerre Semigroup in Finite Dimensions. Rev. Mat. Iberoam. 8 (1992), no. 1, pp. 93–120DOI 10.4171/RMI/118