STRONG TYPE ESTIMATION FROM WEAK TYPE ESTIMATES FOR SOME INTEGRAL OPERATORS

摘要

We show that if an integral operator T is of weak type (p, p) for some P ∈ [ 1, ∞) then T is of 'strong' type (q, q), namely T is L~q-bounded, for all q ∈ (p, ∞) under some additional assumptions for the operator T and the measure μ.