On the maximal function for the generalized Ornstein-Uhlenbeck semigroup
  In this note we consider the maximal function for the generalized Ornstein-Uhlenbeck semigroup in $\RR$ associated with the generalized Hermite polynomials $\{H_n^{\mu}\}$ and prove that it is weak type (1,1) with respect to $d\lambda_{\mu}(x) = |x|^{2\mu}e^{-|x|^2} dx,$ for $\mu >-1/2$ as well as bounded on $L^p(d\lambda_\mu) $ for $p>1$ 
Jorge Betancor (Universidad de la Laguna), Liliana Forzani   (Universidad Nacional del Litoral & University of Minnesota), R...