On the maximal function for the generalized Ornstein-Uhlenbeck semigroup

Simple item page
dc.creatorBetancor, Jorge
dc.creatorForzani, Liliana
dc.creatorScotto, Roberto
dc.creatorUrbina, Wilfredo
dc.date2006-09-30
dc.date.accessioned2026-07-07T07:28:31Z
dc.date.available2026-07-07T07:28:31Z
dc.descriptionIn this note we consider the maximal function for the generalized Ornstein-Uhlenbeck semigroup in $\RR$ associated with the generalized Hermite polynomials $\{H_n^μ\}$ and prove that it is weak type (1,1) with respect to $dλ_μ(x) = |x|^{2μ}e^{-|x|^2} dx,$ for $μ>-1/2$ as well as bounded on $L^p(dλ_μ) $ for $p>1$
dc.description10 pages. See also http://euler.ciens.ucv.ve/~wurbina/preprints.html
dc.identifierhttps://arxiv.org/abs/math/0610011
dc.identifierhttp://arxiv.org/abs/math/0610011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117761
dc.subjectClassical Analysis and ODEs
dc.subjectAnalysis of PDEs
dc.subject42C10; 46E35
dc.titleOn the maximal function for the generalized Ornstein-Uhlenbeck semigroup
dc.typetext

Files

Collections

arXiv