Rearrangements, medians and their maximal functions
アブストラクト
The Aim of this talk is twofold. First, we give an exact expression of the set of all medians, of functions on Rn, in terms of (non-) increasing rearrangements. Second, we discuss a version of Hardy-Littlewood-Sobolev inequality for fractional maximal operators, defined by rearrangements and medians.