Absolute continuity and hyponormal operators.
Absolute continuity with respect to a subset of an interval
The aim of this paper is to introduce a generalization of the classical absolute continuity to a relative case, with respect to a subset of an interval . This generalization is based on adding more requirements to disjoint systems from the classical definition of absolute continuity – these systems should be not too far from and should be small relative to some covers of . We discuss basic properties of relative absolutely continuous functions and compare this class with other classes of...
Addendum to the paper "Generalizations to monotonicity for uniform convergence of double sine integrals over ℝ̅ ²₊" (Studia Math. 201 (2010), 287-304)