On the 𝐿^{𝑝} boundedness of the non-centered Gaussian Hardy-Littlewood maximal function

Forzani, Liliana; Scotto, Roberto; Sjögren, Peter; Urbina, Wilfredo

doi:10.1090/S0002-9939-01-06156-1

On the $L^p$ boundedness of the non-centered Gaussian Hardy-Littlewood maximal function
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by Liliana Forzani, Roberto Scotto, Peter Sjögren and Wilfredo Urbina PDF

Proc. Amer. Math. Soc. 130 (2002), 73-79 Request permission

Abstract:

The purpose of this paper is to prove the $L^p(\mathcal {R}^n, d\gamma )$ boundedness, for $p>1$, of the non-centered Hardy-Littlewood maximal operator associated with the Gaussian measure $d\gamma =e^{-|x|^2} dx$.

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