Averaging operators on l^{p_n} and L^p(x)
Averaging operators on l^{p_n} and L^p(x)
We consider the generalized Lebesgue space L p(x) and its discrete analogue l {pn} , each given the appropriate Luxemburg norm.Let T k be the averaging operator given byWe show that the T k are uniformly bounded from l {pn} into l {pn} under certain assumptions on p n and …