Generalizations of Landau's Inequality to Linear Operators
Einar Rille · 1972
and the underlying space X is a B-space of functions t -+-f(t) on an infinite interval. The space L=(O, =) was considered by Landau. The inequality is valid for C[O, =] and any Lp(O, =). The interval (=, =) is also admissible. In some spaces the constant 4 may be replaced by a smaller number ~ 1. If fhas derivatives up to and inc1uding the nth order and if 1 :§k-<n, one can ask for what values of the constants it is true that