The Littlewood-Paley g-function associated with the Riemann-Liouville operator
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 Lp-boundedness for p ∈]1, 2].
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