The Littlewood-Paley g-function associated with the Riemann-Liouville operator

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Author:
Amri, Besma
Rachdi, Lakhdar T.
xmlui.dri2xhtml.METS-1.0.item-citation: Annales Universitatis Paedagogicae Cracoviensis. 128, Studia Mathematica 12 (2013), s. [31]-58
xmlui.dri2xhtml.METS-1.0.item-iso: en
Subject:
Riemann-Liouville operator
Fourier transform
Gauss semigroup
Poisson semigroup
Littlewood-Paley $g$-function
Date: 2013
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Abstract
First, we study the Gauss and Poisson semigroups connected with the Riemann-Liouville operator. Next, we define and study the Littlewood- Paley $g$-function associated with the Riemann-Liouville operator for which we prove the $L^p$-boundedness for $p ∊ |1,2|$.
URI
http://hdl.handle.net/11716/13661
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