JournalsrmiVol. 8, No. 1pp. 93–120

Weak Type (1,1) Estimates of the Maximal Function for the Laguerre Semigroup in Finite Dimensions

  • Ulla Dinger

    Chalmers University of Technology, Gothenburg, Sweden
Weak Type (1,1) Estimates of the Maximal Function for the Laguerre Semigroup in Finite Dimensions cover
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Abstract

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. 93–120

DOI 10.4171/RMI/118