H. P. Heinig, P. Kelevedjiev, M. Krbec
abstract:
Necessary and sufficient conditions on weight pairs
are found for the validity of a class
of weighted exponential inequalities involving certain classical operators.
Among the operators considered are the Hardy averaging
operator and its variants in one and two dimensions,
as well as the Laplace transform.
Discrete analogues yield characterizations of weighted
forms of Carleman's inequality