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paper

Sobolev Inequalities: Symmetrization and Self Improvement via Truncation

arXiv:math/0703318 · doi:10.1016/j.jfa.2007.05.017

Abstract

We develop a new method to obtain symmetrization inequalities of Sobolev type. Our approach leads to new inequalities and considerable simplification in the theory of embeddings of Sobolev spaces based on rearrangement invariant spaces.

16 pages