Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4673244 | Indagationes Mathematicae | 2008 | 19 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)