Littlewood-Paley functions associated with general Ornstein-Uhlenbeck semigroups

2022/02/12 by Almeida, Víctor, Betancor, Jorge J., Fariña, Juan C. +2 · 1 citation
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2202.06136

Abstract

In this paper we establish L^p(ℝ^d,γ_∞)-boundedness properties for square functions involving time and spatial derivatives of Ornstein-Uhlenbeck semigroups. Here γ_∞ denotes the invariant measure. In order to prove the strong type results for 1

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