Article ID Journal Published Year Pages File Type
4673244 Indagationes Mathematicae 2008 19 Pages PDF
Abstract

For a general set transformation R between two measure spaces, we define the rearrangement of a measurable function by means of the Layer's cake formula. We study some functional properties of the Lorentz spaces defined in terms of R, giving a unified approach to the classical rearrangement, Steiner's symmetrization, the multidimensional case, and the discrete setting of trees.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)