Fractional vector-valued Littlewood–Paley–Stein theory for semigroups
Fractional vector-valued Littlewood–Paley–Stein theory for semigroups
We consider the fractional derivative of a general Poisson semigroup. With this fractional derivative, we define the generalized fractional Littlewood–Paley g -function for semigroups acting on L p -spaces of functions with values in Banach spaces. We give a characterization of the classes of Banach spaces for which the fractional …