info:eu-repo/semantics/article
On the maximal function for the generalized Ornstein-Uhlenbeck semigroup
Fecha
2007-12Registro en:
Betancor, Jorge; Forzani, Liliana Maria; Scotto, Roberto Aníbal; Urbina, Wilfredo O.; On the maximal function for the generalized Ornstein-Uhlenbeck semigroup; Natl Inquiry Services Centre Pty Ltd; Quaestiones Mathematicae; 30; 4; 12-2007; 471-482
1607-3606
CONICET Digital
CONICET
Autor
Betancor, Jorge
Forzani, Liliana Maria
Scotto, Roberto Aníbal
Urbina, Wilfredo O.
Resumen
In this note we consider the maximal function for the generalized Ornstein-Uhlenbeck semigroup in R associated with the generalized Hermite polynomials (Hμn) and prove that it is weak type (1,1) with respect to dλμ(x) = |x|2μ e−|x|2dx, for μ > –1/2 as well as bounded on Lp(dλμ) for p > 1.